What is the Greatest Common Factor of 80970 and 80979?

Greatest common factor (GCF) of 80970 and 80979 is 3.

GCF(80970,80979) = 3

We will now calculate the prime factors of 80970 and 80979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80970 and 80979.

How to find the GCF of 80970 and 80979?

We will first find the prime factorization of 80970 and 80979. After we will calculate the factors of 80970 and 80979 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80979

Prime factors of 80979 are 3, 26993. Prime factorization of 80979 in exponential form is:

80979 = 3¹ × 26993¹

Step-3: Factors of 80970

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

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

Step-4: Factors of 80979

List of positive integer factors of 80979 that divides 80970 without a remainder.

1, 3, 26993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80970 and 80979. The biggest common factor number is the GCF number.
So the greatest common factor 80970 and 80979 is 3.

Also check out the Least Common Multiple of 80970 and 80979