What is the Greatest Common Factor of 80960 and 80978?

Greatest common factor (GCF) of 80960 and 80978 is 2.

GCF(80960,80978) = 2

We will now calculate the prime factors of 80960 and 80978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80960 and 80978.

How to find the GCF of 80960 and 80978?

We will first find the prime factorization of 80960 and 80978. After we will calculate the factors of 80960 and 80978 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 80978

Prime factors of 80978 are 2, 19, 2131. Prime factorization of 80978 in exponential form is:

80978 = 2¹ × 19¹ × 2131¹

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 80978

List of positive integer factors of 80978 that divides 80960 without a remainder.

1, 2, 19, 38, 2131, 4262, 40489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80960 and 80978. The biggest common factor number is the GCF number.
So the greatest common factor 80960 and 80978 is 2.

Also check out the Least Common Multiple of 80960 and 80978