What is the Greatest Common Factor of 66924 and 66937?

Greatest common factor (GCF) of 66924 and 66937 is 13.

GCF(66924,66937) = 13

We will now calculate the prime factors of 66924 and 66937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66924 and 66937.

How to find the GCF of 66924 and 66937?

We will first find the prime factorization of 66924 and 66937. After we will calculate the factors of 66924 and 66937 and find the biggest common factor number .

Step-1: Prime Factorization of 66924

Prime factors of 66924 are 2, 3, 11, 13. Prime factorization of 66924 in exponential form is:

66924 = 2² × 3² × 11¹ × 13²

Step-2: Prime Factorization of 66937

Prime factors of 66937 are 13, 19, 271. Prime factorization of 66937 in exponential form is:

66937 = 13¹ × 19¹ × 271¹

Step-3: Factors of 66924

List of positive integer factors of 66924 that divides 66924 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 169, 198, 234, 286, 338, 396, 429, 468, 507, 572, 676, 858, 1014, 1287, 1521, 1716, 1859, 2028, 2574, 3042, 3718, 5148, 5577, 6084, 7436, 11154, 16731, 22308, 33462

Step-4: Factors of 66937

List of positive integer factors of 66937 that divides 66924 without a remainder.

1, 13, 19, 247, 271, 3523, 5149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66924 and 66937. The biggest common factor number is the GCF number.
So the greatest common factor 66924 and 66937 is 13.

Also check out the Least Common Multiple of 66924 and 66937