What is the Greatest Common Factor of 82974 and 82986?

Greatest common factor (GCF) of 82974 and 82986 is 6.

GCF(82974,82986) = 6

We will now calculate the prime factors of 82974 and 82986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82974 and 82986.

How to find the GCF of 82974 and 82986?

We will first find the prime factorization of 82974 and 82986. After we will calculate the factors of 82974 and 82986 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 82986

Prime factors of 82986 are 2, 3, 13831. Prime factorization of 82986 in exponential form is:

82986 = 2¹ × 3¹ × 13831¹

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 82986

List of positive integer factors of 82986 that divides 82974 without a remainder.

1, 2, 3, 6, 13831, 27662, 41493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82974 and 82986. The biggest common factor number is the GCF number.
So the greatest common factor 82974 and 82986 is 6.

Also check out the Least Common Multiple of 82974 and 82986