What is the Greatest Common Factor of 66924 and 66939?

Greatest common factor (GCF) of 66924 and 66939 is 3.

GCF(66924,66939) = 3

We will now calculate the prime factors of 66924 and 66939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66924 and 66939.

How to find the GCF of 66924 and 66939?

We will first find the prime factorization of 66924 and 66939. After we will calculate the factors of 66924 and 66939 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 66939

Prime factors of 66939 are 3, 53, 421. Prime factorization of 66939 in exponential form is:

66939 = 3¹ × 53¹ × 421¹

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 66939

List of positive integer factors of 66939 that divides 66924 without a remainder.

1, 3, 53, 159, 421, 1263, 22313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66924 and 66939. The biggest common factor number is the GCF number.
So the greatest common factor 66924 and 66939 is 3.

Also check out the Least Common Multiple of 66924 and 66939