What is the Greatest Common Factor of 80944 and 80960?

Greatest common factor (GCF) of 80944 and 80960 is 16.

GCF(80944,80960) = 16

We will now calculate the prime factors of 80944 and 80960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80944 and 80960.

How to find the GCF of 80944 and 80960?

We will first find the prime factorization of 80944 and 80960. After we will calculate the factors of 80944 and 80960 and find the biggest common factor number .

Step-1: Prime Factorization of 80944

Prime factors of 80944 are 2, 5059. Prime factorization of 80944 in exponential form is:

80944 = 2⁴ × 5059¹

Step-2: Prime Factorization of 80960

Prime factors of 80960 are 2, 5, 11, 23. Prime factorization of 80960 in exponential form is:

80960 = 2⁶ × 5¹ × 11¹ × 23¹

Step-3: Factors of 80944

List of positive integer factors of 80944 that divides 80944 without a remainder.

1, 2, 4, 8, 16, 5059, 10118, 20236, 40472

Step-4: Factors of 80960

List of positive integer factors of 80960 that divides 80944 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 23, 32, 40, 44, 46, 55, 64, 80, 88, 92, 110, 115, 160, 176, 184, 220, 230, 253, 320, 352, 368, 440, 460, 506, 704, 736, 880, 920, 1012, 1265, 1472, 1760, 1840, 2024, 2530, 3520, 3680, 4048, 5060, 7360, 8096, 10120, 16192, 20240, 40480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80944 and 80960. The biggest common factor number is the GCF number.
So the greatest common factor 80944 and 80960 is 16.

Also check out the Least Common Multiple of 80944 and 80960