What is the Greatest Common Factor of 66924 and 66941?

Greatest common factor (GCF) of 66924 and 66941 is 1.

GCF(66924,66941) = 1

We will now calculate the prime factors of 66924 and 66941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66924 and 66941.

How to find the GCF of 66924 and 66941?

We will first find the prime factorization of 66924 and 66941. After we will calculate the factors of 66924 and 66941 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 66941

Prime factors of 66941 are 7, 73, 131. Prime factorization of 66941 in exponential form is:

66941 = 7¹ × 73¹ × 131¹

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 66941

List of positive integer factors of 66941 that divides 66924 without a remainder.

1, 7, 73, 131, 511, 917, 9563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66924 and 66941. The biggest common factor number is the GCF number.
So the greatest common factor 66924 and 66941 is 1.

Also check out the Least Common Multiple of 66924 and 66941