What is the Greatest Common Factor of 44160 and 44166?

Greatest common factor (GCF) of 44160 and 44166 is 6.

GCF(44160,44166) = 6

We will now calculate the prime factors of 44160 and 44166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44160 and 44166.

How to find the GCF of 44160 and 44166?

We will first find the prime factorization of 44160 and 44166. After we will calculate the factors of 44160 and 44166 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 44166

Prime factors of 44166 are 2, 3, 17, 433. Prime factorization of 44166 in exponential form is:

44166 = 2¹ × 3¹ × 17¹ × 433¹

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 44166

List of positive integer factors of 44166 that divides 44160 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 433, 866, 1299, 2598, 7361, 14722, 22083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44160 and 44166. The biggest common factor number is the GCF number.
So the greatest common factor 44160 and 44166 is 6.

Also check out the Least Common Multiple of 44160 and 44166