What is the Greatest Common Factor of 7007 and 7021?

Greatest common factor (GCF) of 7007 and 7021 is 7.

GCF(7007,7021) = 7

We will now calculate the prime factors of 7007 and 7021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7007 and 7021.

How to find the GCF of 7007 and 7021?

We will first find the prime factorization of 7007 and 7021. After we will calculate the factors of 7007 and 7021 and find the biggest common factor number .

Step-1: Prime Factorization of 7007

Prime factors of 7007 are 7, 11, 13. Prime factorization of 7007 in exponential form is:

7007 = 7² × 11¹ × 13¹

Step-2: Prime Factorization of 7021

Prime factors of 7021 are 7, 17, 59. Prime factorization of 7021 in exponential form is:

7021 = 7¹ × 17¹ × 59¹

Step-3: Factors of 7007

List of positive integer factors of 7007 that divides 7007 without a remainder.

1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001

Step-4: Factors of 7021

List of positive integer factors of 7021 that divides 7007 without a remainder.

1, 7, 17, 59, 119, 413, 1003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7007 and 7021. The biggest common factor number is the GCF number.
So the greatest common factor 7007 and 7021 is 7.

Also check out the Least Common Multiple of 7007 and 7021