What is the Greatest Common Factor of 44592 and 44604?

Greatest common factor (GCF) of 44592 and 44604 is 12.

GCF(44592,44604) = 12

We will now calculate the prime factors of 44592 and 44604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44592 and 44604.

How to find the GCF of 44592 and 44604?

We will first find the prime factorization of 44592 and 44604. After we will calculate the factors of 44592 and 44604 and find the biggest common factor number .

Step-1: Prime Factorization of 44592

Prime factors of 44592 are 2, 3, 929. Prime factorization of 44592 in exponential form is:

44592 = 2⁴ × 3¹ × 929¹

Step-2: Prime Factorization of 44604

Prime factors of 44604 are 2, 3, 7, 59. Prime factorization of 44604 in exponential form is:

44604 = 2² × 3³ × 7¹ × 59¹

Step-3: Factors of 44592

List of positive integer factors of 44592 that divides 44592 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 929, 1858, 2787, 3716, 5574, 7432, 11148, 14864, 22296

Step-4: Factors of 44604

List of positive integer factors of 44604 that divides 44592 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 59, 63, 84, 108, 118, 126, 177, 189, 236, 252, 354, 378, 413, 531, 708, 756, 826, 1062, 1239, 1593, 1652, 2124, 2478, 3186, 3717, 4956, 6372, 7434, 11151, 14868, 22302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44592 and 44604. The biggest common factor number is the GCF number.
So the greatest common factor 44592 and 44604 is 12.

Also check out the Least Common Multiple of 44592 and 44604