
How do you find the GCF of 21 and 14?
Answer
483k+ views
Hint: We need to find the GCF of 21 and 14. First, we need to find the common factors of 14 and 21 from their factors list. Then we find the greatest common factor of 14 and 21. We can also take the simultaneous factorization of those two numbers to find the GCF.
Complete step by step answer:
We need to find the GCF of 21 and 14. GCF stands for the greatest common factor.
we first find the factors for 14 and 21.
The factors of 14 are . The factors of 21 are .
The common factors of 14 and 21 are .
The greatest common factor of 14 and 21 is .
We also can use the simultaneous factorization to find the greatest common factor of 14 and 21.
We have to divide both of them with possible primes which can divide both of them.
The only possible prime being 7. Therefore, the greatest common factor of 14 and 21 is 7.
Note:
We need to remember that the GCF has to be only one number. It is the greatest possible divisor of all the given numbers. If the given numbers are prime numbers then the GCD of those numbers will always be 1.
Therefore, if for numbers and , the GCD is then the GCD of the numbers and will be 1.
Complete step by step answer:
We need to find the GCF of 21 and 14. GCF stands for the greatest common factor.
we first find the factors for 14 and 21.
The factors of 14 are
The common factors of 14 and 21 are
The greatest common factor of 14 and 21 is
We also can use the simultaneous factorization to find the greatest common factor of 14 and 21.
We have to divide both of them with possible primes which can divide both of them.
The only possible prime being 7. Therefore, the greatest common factor of 14 and 21 is 7.
Note:
We need to remember that the GCF has to be only one number. It is the greatest possible divisor of all the given numbers. If the given numbers are prime numbers then the GCD of those numbers will always be 1.
Therefore, if for numbers
Latest Vedantu courses for you
Grade 9 | CBSE | SCHOOL | English
Vedantu 9 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹37,300 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
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Gautam Buddha was born in the year A581 BC B563 BC class 10 social science CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE

What is the median of the first 10 natural numbers class 10 maths CBSE

Change the following sentences into negative and interrogative class 10 english CBSE
