What is the Greatest Common Factor of 74736 and 74748?

Greatest common factor (GCF) of 74736 and 74748 is 12.

GCF(74736,74748) = 12

We will now calculate the prime factors of 74736 and 74748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74736 and 74748.

How to find the GCF of 74736 and 74748?

We will first find the prime factorization of 74736 and 74748. After we will calculate the factors of 74736 and 74748 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74748

Prime factors of 74748 are 2, 3, 6229. Prime factorization of 74748 in exponential form is:

74748 = 2² × 3¹ × 6229¹

Step-3: Factors of 74736

List of positive integer factors of 74736 that divides 74736 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

Step-4: Factors of 74748

List of positive integer factors of 74748 that divides 74736 without a remainder.

1, 2, 3, 4, 6, 12, 6229, 12458, 18687, 24916, 37374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74736 and 74748. The biggest common factor number is the GCF number.
So the greatest common factor 74736 and 74748 is 12.

Also check out the Least Common Multiple of 74736 and 74748