What is the Greatest Common Factor of 74646 and 74659?

Greatest common factor (GCF) of 74646 and 74659 is 13.

GCF(74646,74659) = 13

We will now calculate the prime factors of 74646 and 74659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74646 and 74659.

How to find the GCF of 74646 and 74659?

We will first find the prime factorization of 74646 and 74659. After we will calculate the factors of 74646 and 74659 and find the biggest common factor number .

Step-1: Prime Factorization of 74646

Prime factors of 74646 are 2, 3, 11, 13, 29. Prime factorization of 74646 in exponential form is:

74646 = 2¹ × 3² × 11¹ × 13¹ × 29¹

Step-2: Prime Factorization of 74659

Prime factors of 74659 are 13, 5743. Prime factorization of 74659 in exponential form is:

74659 = 13¹ × 5743¹

Step-3: Factors of 74646

List of positive integer factors of 74646 that divides 74646 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 29, 33, 39, 58, 66, 78, 87, 99, 117, 143, 174, 198, 234, 261, 286, 319, 377, 429, 522, 638, 754, 858, 957, 1131, 1287, 1914, 2262, 2574, 2871, 3393, 4147, 5742, 6786, 8294, 12441, 24882, 37323

Step-4: Factors of 74659

List of positive integer factors of 74659 that divides 74646 without a remainder.

1, 13, 5743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74646 and 74659. The biggest common factor number is the GCF number.
So the greatest common factor 74646 and 74659 is 13.

Also check out the Least Common Multiple of 74646 and 74659