What is the Greatest Common Factor of 74633 and 74646?

Greatest common factor (GCF) of 74633 and 74646 is 13.

GCF(74633,74646) = 13

We will now calculate the prime factors of 74633 and 74646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74633 and 74646.

How to find the GCF of 74633 and 74646?

We will first find the prime factorization of 74633 and 74646. After we will calculate the factors of 74633 and 74646 and find the biggest common factor number .

Step-1: Prime Factorization of 74633

Prime factors of 74633 are 13, 5741. Prime factorization of 74633 in exponential form is:

74633 = 13¹ × 5741¹

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 74633

List of positive integer factors of 74633 that divides 74633 without a remainder.

1, 13, 5741

Step-4: Factors of 74646

List of positive integer factors of 74646 that divides 74633 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 74633 and 74646. The biggest common factor number is the GCF number.
So the greatest common factor 74633 and 74646 is 13.

Also check out the Least Common Multiple of 74633 and 74646