What is the Greatest Common Factor of 44640 and 44652?

Greatest common factor (GCF) of 44640 and 44652 is 12.

GCF(44640,44652) = 12

We will now calculate the prime factors of 44640 and 44652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44640 and 44652.

How to find the GCF of 44640 and 44652?

We will first find the prime factorization of 44640 and 44652. After we will calculate the factors of 44640 and 44652 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44652

Prime factors of 44652 are 2, 3, 61. Prime factorization of 44652 in exponential form is:

44652 = 2² × 3¹ × 61²

Step-3: Factors of 44640

List of positive integer factors of 44640 that divides 44640 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

Step-4: Factors of 44652

List of positive integer factors of 44652 that divides 44640 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732, 3721, 7442, 11163, 14884, 22326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44640 and 44652. The biggest common factor number is the GCF number.
So the greatest common factor 44640 and 44652 is 12.

Also check out the Least Common Multiple of 44640 and 44652