What is the Greatest Common Factor of 74587 and 74592?

Greatest common factor (GCF) of 74587 and 74592 is 1.

GCF(74587,74592) = 1

We will now calculate the prime factors of 74587 and 74592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74587 and 74592.

How to find the GCF of 74587 and 74592?

We will first find the prime factorization of 74587 and 74592. After we will calculate the factors of 74587 and 74592 and find the biggest common factor number .

Step-1: Prime Factorization of 74587

Prime factors of 74587 are 74587. Prime factorization of 74587 in exponential form is:

74587 = 74587¹

Step-2: 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-3: Factors of 74587

List of positive integer factors of 74587 that divides 74587 without a remainder.

Step-4: Factors of 74592

List of positive integer factors of 74592 that divides 74587 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74587 and 74592. The biggest common factor number is the GCF number.
So the greatest common factor 74587 and 74592 is 1.

Also check out the Least Common Multiple of 74587 and 74592