What is the Greatest Common Factor of 44160 and 44172?

Greatest common factor (GCF) of 44160 and 44172 is 12.

GCF(44160,44172) = 12

We will now calculate the prime factors of 44160 and 44172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44160 and 44172.

How to find the GCF of 44160 and 44172?

We will first find the prime factorization of 44160 and 44172. After we will calculate the factors of 44160 and 44172 and find the biggest common factor number .

Step-1: Prime Factorization of 44160

Prime factors of 44160 are 2, 3, 5, 23. Prime factorization of 44160 in exponential form is:

44160 = 2⁷ × 3¹ × 5¹ × 23¹

Step-2: Prime Factorization of 44172

Prime factors of 44172 are 2, 3, 409. Prime factorization of 44172 in exponential form is:

44172 = 2² × 3³ × 409¹

Step-3: Factors of 44160

List of positive integer factors of 44160 that divides 44160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32, 40, 46, 48, 60, 64, 69, 80, 92, 96, 115, 120, 128, 138, 160, 184, 192, 230, 240, 276, 320, 345, 368, 384, 460, 480, 552, 640, 690, 736, 920, 960, 1104, 1380, 1472, 1840, 1920, 2208, 2760, 2944, 3680, 4416, 5520, 7360, 8832, 11040, 14720, 22080

Step-4: Factors of 44172

List of positive integer factors of 44172 that divides 44160 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 409, 818, 1227, 1636, 2454, 3681, 4908, 7362, 11043, 14724, 22086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44160 and 44172. The biggest common factor number is the GCF number.
So the greatest common factor 44160 and 44172 is 12.

Also check out the Least Common Multiple of 44160 and 44172