What is the Greatest Common Factor of 74635 and 74646?

Greatest common factor (GCF) of 74635 and 74646 is 11.

GCF(74635,74646) = 11

We will now calculate the prime factors of 74635 and 74646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74635 and 74646.

How to find the GCF of 74635 and 74646?

We will first find the prime factorization of 74635 and 74646. After we will calculate the factors of 74635 and 74646 and find the biggest common factor number .

Step-1: Prime Factorization of 74635

Prime factors of 74635 are 5, 11, 23, 59. Prime factorization of 74635 in exponential form is:

74635 = 5¹ × 11¹ × 23¹ × 59¹

Step-2: 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-3: Factors of 74635

List of positive integer factors of 74635 that divides 74635 without a remainder.

1, 5, 11, 23, 55, 59, 115, 253, 295, 649, 1265, 1357, 3245, 6785, 14927

Step-4: Factors of 74646

List of positive integer factors of 74646 that divides 74635 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74635 and 74646. The biggest common factor number is the GCF number.
So the greatest common factor 74635 and 74646 is 11.

Also check out the Least Common Multiple of 74635 and 74646