What is the Greatest Common Factor of 66612 and 66625?

Greatest common factor (GCF) of 66612 and 66625 is 13.

GCF(66612,66625) = 13

We will now calculate the prime factors of 66612 and 66625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66612 and 66625.

How to find the GCF of 66612 and 66625?

We will first find the prime factorization of 66612 and 66625. After we will calculate the factors of 66612 and 66625 and find the biggest common factor number .

Step-1: Prime Factorization of 66612

Prime factors of 66612 are 2, 3, 7, 13, 61. Prime factorization of 66612 in exponential form is:

66612 = 2² × 3¹ × 7¹ × 13¹ × 61¹

Step-2: Prime Factorization of 66625

Prime factors of 66625 are 5, 13, 41. Prime factorization of 66625 in exponential form is:

66625 = 5³ × 13¹ × 41¹

Step-3: Factors of 66612

List of positive integer factors of 66612 that divides 66612 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 61, 78, 84, 91, 122, 156, 182, 183, 244, 273, 364, 366, 427, 546, 732, 793, 854, 1092, 1281, 1586, 1708, 2379, 2562, 3172, 4758, 5124, 5551, 9516, 11102, 16653, 22204, 33306

Step-4: Factors of 66625

List of positive integer factors of 66625 that divides 66612 without a remainder.

1, 5, 13, 25, 41, 65, 125, 205, 325, 533, 1025, 1625, 2665, 5125, 13325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66612 and 66625. The biggest common factor number is the GCF number.
So the greatest common factor 66612 and 66625 is 13.

Also check out the Least Common Multiple of 66612 and 66625