What is the Greatest Common Factor of 74724 and 74736?

Greatest common factor (GCF) of 74724 and 74736 is 12.

GCF(74724,74736) = 12

We will now calculate the prime factors of 74724 and 74736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74724 and 74736.

How to find the GCF of 74724 and 74736?

We will first find the prime factorization of 74724 and 74736. After we will calculate the factors of 74724 and 74736 and find the biggest common factor number .

Step-1: Prime Factorization of 74724

Prime factors of 74724 are 2, 3, 13, 479. Prime factorization of 74724 in exponential form is:

74724 = 2² × 3¹ × 13¹ × 479¹

Step-2: Prime Factorization of 74736

Prime factors of 74736 are 2, 3, 173. Prime factorization of 74736 in exponential form is:

74736 = 2⁴ × 3³ × 173¹

Step-3: Factors of 74724

List of positive integer factors of 74724 that divides 74724 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 479, 958, 1437, 1916, 2874, 5748, 6227, 12454, 18681, 24908, 37362

Step-4: Factors of 74736

List of positive integer factors of 74736 that divides 74724 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 173, 216, 346, 432, 519, 692, 1038, 1384, 1557, 2076, 2768, 3114, 4152, 4671, 6228, 8304, 9342, 12456, 18684, 24912, 37368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74724 and 74736. The biggest common factor number is the GCF number.
So the greatest common factor 74724 and 74736 is 12.

Also check out the Least Common Multiple of 74724 and 74736