What is the Greatest Common Factor of 66924 and 66935?

Greatest common factor (GCF) of 66924 and 66935 is 11.

GCF(66924,66935) = 11

We will now calculate the prime factors of 66924 and 66935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66924 and 66935.

How to find the GCF of 66924 and 66935?

We will first find the prime factorization of 66924 and 66935. After we will calculate the factors of 66924 and 66935 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 66935

Prime factors of 66935 are 5, 11, 1217. Prime factorization of 66935 in exponential form is:

66935 = 5¹ × 11¹ × 1217¹

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 66935

List of positive integer factors of 66935 that divides 66924 without a remainder.

1, 5, 11, 55, 1217, 6085, 13387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66924 and 66935. The biggest common factor number is the GCF number.
So the greatest common factor 66924 and 66935 is 11.

Also check out the Least Common Multiple of 66924 and 66935