What is the Greatest Common Factor of 6996 and 7007?

Greatest common factor (GCF) of 6996 and 7007 is 11.

GCF(6996,7007) = 11

We will now calculate the prime factors of 6996 and 7007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6996 and 7007.

How to find the GCF of 6996 and 7007?

We will first find the prime factorization of 6996 and 7007. After we will calculate the factors of 6996 and 7007 and find the biggest common factor number .

Step-1: Prime Factorization of 6996

Prime factors of 6996 are 2, 3, 11, 53. Prime factorization of 6996 in exponential form is:

6996 = 2² × 3¹ × 11¹ × 53¹

Step-2: 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-3: Factors of 6996

List of positive integer factors of 6996 that divides 6996 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498

Step-4: Factors of 7007

List of positive integer factors of 7007 that divides 6996 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6996 and 7007. The biggest common factor number is the GCF number.
So the greatest common factor 6996 and 7007 is 11.

Also check out the Least Common Multiple of 6996 and 7007