What is the Greatest Common Factor of 44628 and 44640?

Greatest common factor (GCF) of 44628 and 44640 is 12.

GCF(44628,44640) = 12

We will now calculate the prime factors of 44628 and 44640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44628 and 44640.

How to find the GCF of 44628 and 44640?

We will first find the prime factorization of 44628 and 44640. After we will calculate the factors of 44628 and 44640 and find the biggest common factor number .

Step-1: Prime Factorization of 44628

Prime factors of 44628 are 2, 3, 3719. Prime factorization of 44628 in exponential form is:

44628 = 2² × 3¹ × 3719¹

Step-2: Prime Factorization of 44640

Prime factors of 44640 are 2, 3, 5, 31. Prime factorization of 44640 in exponential form is:

44640 = 2⁵ × 3² × 5¹ × 31¹

Step-3: Factors of 44628

List of positive integer factors of 44628 that divides 44628 without a remainder.

1, 2, 3, 4, 6, 12, 3719, 7438, 11157, 14876, 22314

Step-4: Factors of 44640

List of positive integer factors of 44640 that divides 44628 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 31, 32, 36, 40, 45, 48, 60, 62, 72, 80, 90, 93, 96, 120, 124, 144, 155, 160, 180, 186, 240, 248, 279, 288, 310, 360, 372, 465, 480, 496, 558, 620, 720, 744, 930, 992, 1116, 1240, 1395, 1440, 1488, 1860, 2232, 2480, 2790, 2976, 3720, 4464, 4960, 5580, 7440, 8928, 11160, 14880, 22320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44628 and 44640. The biggest common factor number is the GCF number.
So the greatest common factor 44628 and 44640 is 12.

Also check out the Least Common Multiple of 44628 and 44640