What is the Greatest Common Factor of 74592 and 74607?

Greatest common factor (GCF) of 74592 and 74607 is 3.

GCF(74592,74607) = 3

We will now calculate the prime factors of 74592 and 74607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74592 and 74607.

How to find the GCF of 74592 and 74607?

We will first find the prime factorization of 74592 and 74607. After we will calculate the factors of 74592 and 74607 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 74607

Prime factors of 74607 are 3, 13, 1913. Prime factorization of 74607 in exponential form is:

74607 = 3¹ × 13¹ × 1913¹

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 74607

List of positive integer factors of 74607 that divides 74592 without a remainder.

1, 3, 13, 39, 1913, 5739, 24869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74592 and 74607. The biggest common factor number is the GCF number.
So the greatest common factor 74592 and 74607 is 3.

Also check out the Least Common Multiple of 74592 and 74607