
What is the greatest common factor of and ?
Answer
448.5k+ views
Hint: Here in this question, we have to find the greatest common factor [GCF] of the given two numbers. To find this first we have to list out the factors of each number among the factors of two numbers, the largest common number which is the factor of both numbers that is known as the greatest common factor.
Complete step-by-step answer:
The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The GCF of two natural numbers x and y is the largest possible number which divides both x and y. "Greatest Common Factor" is also known as Highest Common Divisor (HCD) or Highest Common Factor (HCF) or Greatest Common Divisor (GCD).
There are 3 methods for finding the greatest common factor of two numbers.
Listing Out Common Factors
Prime Factorization
Division Method
In the question, the given we have to find the greatest common factor of and
Now, find GCF by Listing Out the Common Factors
In this method, we have to list out the factors of both the numbers i.e., and
Factor of 8:
Factor of 36:
Now list out the common factors of and :
Now, we have to choose the greatest number in the common factors of and which is .
Hence, the greatest common factor of and is .
So, the correct answer is “4”.
Note: While splitting the middle term be careful. Factorise all the terms separately, so that you don’t miss any term of the solution. We can check if the solution or Greatest common factor divides the both original numbers completely. We can also solve this question by two more methods i.e., prime factorization and division method.
Complete step-by-step answer:
The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The GCF of two natural numbers x and y is the largest possible number which divides both x and y. "Greatest Common Factor" is also known as Highest Common Divisor (HCD) or Highest Common Factor (HCF) or Greatest Common Divisor (GCD).
There are 3 methods for finding the greatest common factor of two numbers.
Listing Out Common Factors
Prime Factorization
Division Method
In the question, the given we have to find the greatest common factor of
Now, find GCF by Listing Out the Common Factors
In this method, we have to list out the factors of both the numbers i.e.,
Factor of 8:
Factor of 36:
Now list out the common factors of
Now, we have to choose the greatest number in the common factors of
Hence, the greatest common factor of
So, the correct answer is “4”.
Note: While splitting the middle term be careful. Factorise all the terms separately, so that you don’t miss any term of the solution. We can check if the solution or Greatest common factor divides the both original numbers completely. We can also solve this question by two more methods i.e., prime factorization and division method.
Latest Vedantu courses for you
Grade 10 | MAHARASHTRABOARD | SCHOOL | English
Vedantu 10 Maharashtra Pro Lite (2025-26)
School Full course for MAHARASHTRABOARD students
₹33,300 per year
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Trending doubts
Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

Which one of the following is a true fish A Jellyfish class 12 biology CBSE

Which one is a true fish A Jellyfish B Starfish C Dogfish class 10 biology CBSE

Full Form of IASDMIPSIFSIRSPOLICE class 7 social science CBSE

The flightless birds Rhea Kiwi and Emu respectively class 11 biology CBSE

What is the Full Form of ISI and RAW
