What is the Greatest Common Factor of 66599 and 66612?

Greatest common factor (GCF) of 66599 and 66612 is 13.

GCF(66599,66612) = 13

We will now calculate the prime factors of 66599 and 66612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66599 and 66612.

How to find the GCF of 66599 and 66612?

We will first find the prime factorization of 66599 and 66612. After we will calculate the factors of 66599 and 66612 and find the biggest common factor number .

Step-1: Prime Factorization of 66599

Prime factors of 66599 are 13, 47, 109. Prime factorization of 66599 in exponential form is:

66599 = 13¹ × 47¹ × 109¹

Step-2: 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-3: Factors of 66599

List of positive integer factors of 66599 that divides 66599 without a remainder.

1, 13, 47, 109, 611, 1417, 5123

Step-4: Factors of 66612

List of positive integer factors of 66612 that divides 66599 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66599 and 66612. The biggest common factor number is the GCF number.
So the greatest common factor 66599 and 66612 is 13.

Also check out the Least Common Multiple of 66599 and 66612