What is the Greatest Common Factor of 66924 and 66934?

Greatest common factor (GCF) of 66924 and 66934 is 2.

GCF(66924,66934) = 2

We will now calculate the prime factors of 66924 and 66934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66924 and 66934.

How to find the GCF of 66924 and 66934?

We will first find the prime factorization of 66924 and 66934. After we will calculate the factors of 66924 and 66934 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 66934

Prime factors of 66934 are 2, 7, 683. Prime factorization of 66934 in exponential form is:

66934 = 2¹ × 7² × 683¹

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 66934

List of positive integer factors of 66934 that divides 66924 without a remainder.

1, 2, 7, 14, 49, 98, 683, 1366, 4781, 9562, 33467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66924 and 66934. The biggest common factor number is the GCF number.
So the greatest common factor 66924 and 66934 is 2.

Also check out the Least Common Multiple of 66924 and 66934