What is the Greatest Common Factor of 44560 and 44576?

Greatest common factor (GCF) of 44560 and 44576 is 16.

GCF(44560,44576) = 16

We will now calculate the prime factors of 44560 and 44576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44560 and 44576.

How to find the GCF of 44560 and 44576?

We will first find the prime factorization of 44560 and 44576. After we will calculate the factors of 44560 and 44576 and find the biggest common factor number .

Step-1: Prime Factorization of 44560

Prime factors of 44560 are 2, 5, 557. Prime factorization of 44560 in exponential form is:

44560 = 2⁴ × 5¹ × 557¹

Step-2: Prime Factorization of 44576

Prime factors of 44576 are 2, 7, 199. Prime factorization of 44576 in exponential form is:

44576 = 2⁵ × 7¹ × 199¹

Step-3: Factors of 44560

List of positive integer factors of 44560 that divides 44560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 557, 1114, 2228, 2785, 4456, 5570, 8912, 11140, 22280

Step-4: Factors of 44576

List of positive integer factors of 44576 that divides 44560 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 199, 224, 398, 796, 1393, 1592, 2786, 3184, 5572, 6368, 11144, 22288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44560 and 44576. The biggest common factor number is the GCF number.
So the greatest common factor 44560 and 44576 is 16.

Also check out the Least Common Multiple of 44560 and 44576