What is the Greatest Common Factor of 74496 and 74512?

Greatest common factor (GCF) of 74496 and 74512 is 16.

GCF(74496,74512) = 16

We will now calculate the prime factors of 74496 and 74512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74496 and 74512.

How to find the GCF of 74496 and 74512?

We will first find the prime factorization of 74496 and 74512. After we will calculate the factors of 74496 and 74512 and find the biggest common factor number .

Step-1: Prime Factorization of 74496

Prime factors of 74496 are 2, 3, 97. Prime factorization of 74496 in exponential form is:

74496 = 2⁸ × 3¹ × 97¹

Step-2: Prime Factorization of 74512

Prime factors of 74512 are 2, 4657. Prime factorization of 74512 in exponential form is:

74512 = 2⁴ × 4657¹

Step-3: Factors of 74496

List of positive integer factors of 74496 that divides 74496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 97, 128, 192, 194, 256, 291, 384, 388, 582, 768, 776, 1164, 1552, 2328, 3104, 4656, 6208, 9312, 12416, 18624, 24832, 37248

Step-4: Factors of 74512

List of positive integer factors of 74512 that divides 74496 without a remainder.

1, 2, 4, 8, 16, 4657, 9314, 18628, 37256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74496 and 74512. The biggest common factor number is the GCF number.
So the greatest common factor 74496 and 74512 is 16.

Also check out the Least Common Multiple of 74496 and 74512