What is the Greatest Common Factor of 44144 and 44160?

Greatest common factor (GCF) of 44144 and 44160 is 16.

GCF(44144,44160) = 16

We will now calculate the prime factors of 44144 and 44160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44144 and 44160.

How to find the GCF of 44144 and 44160?

We will first find the prime factorization of 44144 and 44160. After we will calculate the factors of 44144 and 44160 and find the biggest common factor number .

Step-1: Prime Factorization of 44144

Prime factors of 44144 are 2, 31, 89. Prime factorization of 44144 in exponential form is:

44144 = 2⁴ × 31¹ × 89¹

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 44144

List of positive integer factors of 44144 that divides 44144 without a remainder.

1, 2, 4, 8, 16, 31, 62, 89, 124, 178, 248, 356, 496, 712, 1424, 2759, 5518, 11036, 22072

Step-4: Factors of 44160

List of positive integer factors of 44160 that divides 44144 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 44144 and 44160. The biggest common factor number is the GCF number.
So the greatest common factor 44144 and 44160 is 16.

Also check out the Least Common Multiple of 44144 and 44160