What is the Greatest Common Factor of 44145 and 44160?

Greatest common factor (GCF) of 44145 and 44160 is 15.

GCF(44145,44160) = 15

We will now calculate the prime factors of 44145 and 44160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44145 and 44160.

How to find the GCF of 44145 and 44160?

We will first find the prime factorization of 44145 and 44160. After we will calculate the factors of 44145 and 44160 and find the biggest common factor number .

Step-1: Prime Factorization of 44145

Prime factors of 44145 are 3, 5, 109. Prime factorization of 44145 in exponential form is:

44145 = 3⁴ × 5¹ × 109¹

Step-2: 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-3: Factors of 44145

List of positive integer factors of 44145 that divides 44145 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 109, 135, 327, 405, 545, 981, 1635, 2943, 4905, 8829, 14715

Step-4: Factors of 44160

List of positive integer factors of 44160 that divides 44145 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44145 and 44160. The biggest common factor number is the GCF number.
So the greatest common factor 44145 and 44160 is 15.

Also check out the Least Common Multiple of 44145 and 44160