What is the Greatest Common Factor of 82974 and 82989?

Greatest common factor (GCF) of 82974 and 82989 is 3.

GCF(82974,82989) = 3

We will now calculate the prime factors of 82974 and 82989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82974 and 82989.

How to find the GCF of 82974 and 82989?

We will first find the prime factorization of 82974 and 82989. After we will calculate the factors of 82974 and 82989 and find the biggest common factor number .

Step-1: Prime Factorization of 82974

Prime factors of 82974 are 2, 3, 13829. Prime factorization of 82974 in exponential form is:

82974 = 2¹ × 3¹ × 13829¹

Step-2: Prime Factorization of 82989

Prime factors of 82989 are 3, 9221. Prime factorization of 82989 in exponential form is:

82989 = 3² × 9221¹

Step-3: Factors of 82974

List of positive integer factors of 82974 that divides 82974 without a remainder.

1, 2, 3, 6, 13829, 27658, 41487

Step-4: Factors of 82989

List of positive integer factors of 82989 that divides 82974 without a remainder.

1, 3, 9, 9221, 27663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82974 and 82989. The biggest common factor number is the GCF number.
So the greatest common factor 82974 and 82989 is 3.

Also check out the Least Common Multiple of 82974 and 82989