What is the Greatest Common Factor of 74592 and 74612?

Greatest common factor (GCF) of 74592 and 74612 is 4.

GCF(74592,74612) = 4

We will now calculate the prime factors of 74592 and 74612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74592 and 74612.

How to find the GCF of 74592 and 74612?

We will first find the prime factorization of 74592 and 74612. After we will calculate the factors of 74592 and 74612 and find the biggest common factor number .

Step-1: Prime Factorization of 74592

Prime factors of 74592 are 2, 3, 7, 37. Prime factorization of 74592 in exponential form is:

74592 = 2⁵ × 3² × 7¹ × 37¹

Step-2: Prime Factorization of 74612

Prime factors of 74612 are 2, 23, 811. Prime factorization of 74612 in exponential form is:

74612 = 2² × 23¹ × 811¹

Step-3: Factors of 74592

List of positive integer factors of 74592 that divides 74592 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 37, 42, 48, 56, 63, 72, 74, 84, 96, 111, 112, 126, 144, 148, 168, 222, 224, 252, 259, 288, 296, 333, 336, 444, 504, 518, 592, 666, 672, 777, 888, 1008, 1036, 1184, 1332, 1554, 1776, 2016, 2072, 2331, 2664, 3108, 3552, 4144, 4662, 5328, 6216, 8288, 9324, 10656, 12432, 18648, 24864, 37296

Step-4: Factors of 74612

List of positive integer factors of 74612 that divides 74592 without a remainder.

1, 2, 4, 23, 46, 92, 811, 1622, 3244, 18653, 37306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74592 and 74612. The biggest common factor number is the GCF number.
So the greatest common factor 74592 and 74612 is 4.

Also check out the Least Common Multiple of 74592 and 74612