What is the Greatest Common Factor of 80948 and 80960?

Greatest common factor (GCF) of 80948 and 80960 is 4.

GCF(80948,80960) = 4

We will now calculate the prime factors of 80948 and 80960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80948 and 80960.

How to find the GCF of 80948 and 80960?

We will first find the prime factorization of 80948 and 80960. After we will calculate the factors of 80948 and 80960 and find the biggest common factor number .

Step-1: Prime Factorization of 80948

Prime factors of 80948 are 2, 7, 59. Prime factorization of 80948 in exponential form is:

80948 = 2² × 7³ × 59¹

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 80948

List of positive integer factors of 80948 that divides 80948 without a remainder.

1, 2, 4, 7, 14, 28, 49, 59, 98, 118, 196, 236, 343, 413, 686, 826, 1372, 1652, 2891, 5782, 11564, 20237, 40474

Step-4: Factors of 80960

List of positive integer factors of 80960 that divides 80948 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 80948 and 80960. The biggest common factor number is the GCF number.
So the greatest common factor 80948 and 80960 is 4.

Also check out the Least Common Multiple of 80948 and 80960