What is the Greatest Common Factor of 63007 and 63021?

Greatest common factor (GCF) of 63007 and 63021 is 7.

GCF(63007,63021) = 7

We will now calculate the prime factors of 63007 and 63021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63007 and 63021.

How to find the GCF of 63007 and 63021?

We will first find the prime factorization of 63007 and 63021. After we will calculate the factors of 63007 and 63021 and find the biggest common factor number .

Step-1: Prime Factorization of 63007

Prime factors of 63007 are 7, 9001. Prime factorization of 63007 in exponential form is:

63007 = 7¹ × 9001¹

Step-2: Prime Factorization of 63021

Prime factors of 63021 are 3, 7, 3001. Prime factorization of 63021 in exponential form is:

63021 = 3¹ × 7¹ × 3001¹

Step-3: Factors of 63007

List of positive integer factors of 63007 that divides 63007 without a remainder.

1, 7, 9001

Step-4: Factors of 63021

List of positive integer factors of 63021 that divides 63007 without a remainder.

1, 3, 7, 21, 3001, 9003, 21007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63007 and 63021. The biggest common factor number is the GCF number.
So the greatest common factor 63007 and 63021 is 7.

Also check out the Least Common Multiple of 63007 and 63021