What is the Greatest Common Factor of 66612 and 66626?

Greatest common factor (GCF) of 66612 and 66626 is 14.

GCF(66612,66626) = 14

We will now calculate the prime factors of 66612 and 66626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66612 and 66626.

How to find the GCF of 66612 and 66626?

We will first find the prime factorization of 66612 and 66626. After we will calculate the factors of 66612 and 66626 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 66626

Prime factors of 66626 are 2, 7, 4759. Prime factorization of 66626 in exponential form is:

66626 = 2¹ × 7¹ × 4759¹

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 66626

List of positive integer factors of 66626 that divides 66612 without a remainder.

1, 2, 7, 14, 4759, 9518, 33313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66612 and 66626. The biggest common factor number is the GCF number.
So the greatest common factor 66612 and 66626 is 14.

Also check out the Least Common Multiple of 66612 and 66626