
What is the greatest common factor of and
Answer
447k+ views
Hint: Here, first we will find prime factorization of the given numbers and then accordingly on the basis of the prime factors we will find the greatest common factor (GCF). GCF is the greatest or the largest common factor between two or more given numbers. It is also known as the Highest common factor.
Complete step-by-step answer:
First find the prime factors of the given numbers.
Prime factorization is the process of finding which prime numbers can be multiplied together to make the original number, where prime numbers are the numbers greater than and which are not the product of any two smaller natural numbers. For Example: is the prime number as it can have only factor. Factors are the number and the number itself.
The common factors in all the three given numbers are and
Hence, the greatest common factor of and is
So, the correct answer is “45”.
Note: Prime factorisation can also be done by the factor tree method. It is the factor-tree which shows the prime factors of the composite number in the form tree. One can get different factor trees to find the same prime factorization of the same composite number. Be good in multiples and remember it at least twenty. HCF (Highest common factor is also known as the greatest common factor. LCM (Least common multiple) is also known as the least common divisor.
Complete step-by-step answer:
First find the prime factors of the given numbers.
Prime factorization is the process of finding which prime numbers can be multiplied together to make the original number, where prime numbers are the numbers greater than
The common factors in all the three given numbers are
Hence, the greatest common factor of
So, the correct answer is “45”.
Note: Prime factorisation can also be done by the factor tree method. It is the factor-tree which shows the prime factors of the composite number in the form tree. One can get different factor trees to find the same prime factorization of the same composite number. Be good in multiples and remember it at least twenty. HCF (Highest common factor is also known as the greatest common factor. LCM (Least common multiple) is also known as the least common divisor.
Latest Vedantu courses for you
Grade 7 | CBSE | SCHOOL | English
Vedantu 7 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹45,300 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
Full Form of IASDMIPSIFSIRSPOLICE class 7 social science CBSE

The southernmost point of the Indian mainland is known class 7 social studies CBSE

Convert 200 Million dollars in rupees class 7 maths CBSE

How many crores make 10 million class 7 maths CBSE

One lakh eight thousand how can we write it in num class 7 maths CBSE

List of coprime numbers from 1 to 100 class 7 maths CBSE
