What is the Greatest Common Factor of 80978 and 80997?

Greatest common factor (GCF) of 80978 and 80997 is 19.

GCF(80978,80997) = 19

We will now calculate the prime factors of 80978 and 80997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80978 and 80997.

How to find the GCF of 80978 and 80997?

We will first find the prime factorization of 80978 and 80997. After we will calculate the factors of 80978 and 80997 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80997

Prime factors of 80997 are 3, 7, 19, 29. Prime factorization of 80997 in exponential form is:

80997 = 3¹ × 7² × 19¹ × 29¹

Step-3: Factors of 80978

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

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

Step-4: Factors of 80997

List of positive integer factors of 80997 that divides 80978 without a remainder.

1, 3, 7, 19, 21, 29, 49, 57, 87, 133, 147, 203, 399, 551, 609, 931, 1421, 1653, 2793, 3857, 4263, 11571, 26999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80978 and 80997. The biggest common factor number is the GCF number.
So the greatest common factor 80978 and 80997 is 19.

Also check out the Least Common Multiple of 80978 and 80997