What is the Greatest Common Factor of 80960 and 80970?

Greatest common factor (GCF) of 80960 and 80970 is 10.

GCF(80960,80970) = 10

We will now calculate the prime factors of 80960 and 80970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80960 and 80970.

How to find the GCF of 80960 and 80970?

We will first find the prime factorization of 80960 and 80970. After we will calculate the factors of 80960 and 80970 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80970

Prime factors of 80970 are 2, 3, 5, 2699. Prime factorization of 80970 in exponential form is:

80970 = 2¹ × 3¹ × 5¹ × 2699¹

Step-3: Factors of 80960

List of positive integer factors of 80960 that divides 80960 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

Step-4: Factors of 80970

List of positive integer factors of 80970 that divides 80960 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2699, 5398, 8097, 13495, 16194, 26990, 40485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80960 and 80970. The biggest common factor number is the GCF number.
So the greatest common factor 80960 and 80970 is 10.

Also check out the Least Common Multiple of 80960 and 80970