What is the Greatest Common Factor of 44160 and 44164?

Greatest common factor (GCF) of 44160 and 44164 is 4.

GCF(44160,44164) = 4

We will now calculate the prime factors of 44160 and 44164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44160 and 44164.

How to find the GCF of 44160 and 44164?

We will first find the prime factorization of 44160 and 44164. After we will calculate the factors of 44160 and 44164 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 44164

Prime factors of 44164 are 2, 61, 181. Prime factorization of 44164 in exponential form is:

44164 = 2² × 61¹ × 181¹

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 44164

List of positive integer factors of 44164 that divides 44160 without a remainder.

1, 2, 4, 61, 122, 181, 244, 362, 724, 11041, 22082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44160 and 44164. The biggest common factor number is the GCF number.
So the greatest common factor 44160 and 44164 is 4.

Also check out the Least Common Multiple of 44160 and 44164