What is the Greatest Common Factor of 80973 and 80985?

Greatest common factor (GCF) of 80973 and 80985 is 3.

GCF(80973,80985) = 3

We will now calculate the prime factors of 80973 and 80985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80973 and 80985.

How to find the GCF of 80973 and 80985?

We will first find the prime factorization of 80973 and 80985. After we will calculate the factors of 80973 and 80985 and find the biggest common factor number .

Step-1: Prime Factorization of 80973

Prime factors of 80973 are 3, 2999. Prime factorization of 80973 in exponential form is:

80973 = 3³ × 2999¹

Step-2: Prime Factorization of 80985

Prime factors of 80985 are 3, 5, 5399. Prime factorization of 80985 in exponential form is:

80985 = 3¹ × 5¹ × 5399¹

Step-3: Factors of 80973

List of positive integer factors of 80973 that divides 80973 without a remainder.

1, 3, 9, 27, 2999, 8997, 26991

Step-4: Factors of 80985

List of positive integer factors of 80985 that divides 80973 without a remainder.

1, 3, 5, 15, 5399, 16197, 26995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80973 and 80985. The biggest common factor number is the GCF number.
So the greatest common factor 80973 and 80985 is 3.

Also check out the Least Common Multiple of 80973 and 80985