What is the Greatest Common Factor of 66612 and 66629?

Greatest common factor (GCF) of 66612 and 66629 is 1.

GCF(66612,66629) = 1

We will now calculate the prime factors of 66612 and 66629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66612 and 66629.

How to find the GCF of 66612 and 66629?

We will first find the prime factorization of 66612 and 66629. After we will calculate the factors of 66612 and 66629 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 66629

Prime factors of 66629 are 66629. Prime factorization of 66629 in exponential form is:

66629 = 66629¹

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 66629

List of positive integer factors of 66629 that divides 66612 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66612 and 66629. The biggest common factor number is the GCF number.
So the greatest common factor 66612 and 66629 is 1.

Also check out the Least Common Multiple of 66612 and 66629