What is the Greatest Common Factor of 82972 and 82986?

Greatest common factor (GCF) of 82972 and 82986 is 2.

GCF(82972,82986) = 2

We will now calculate the prime factors of 82972 and 82986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82972 and 82986.

How to find the GCF of 82972 and 82986?

We will first find the prime factorization of 82972 and 82986. After we will calculate the factors of 82972 and 82986 and find the biggest common factor number .

Step-1: Prime Factorization of 82972

Prime factors of 82972 are 2, 20743. Prime factorization of 82972 in exponential form is:

82972 = 2² × 20743¹

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 82972

List of positive integer factors of 82972 that divides 82972 without a remainder.

1, 2, 4, 20743, 41486

Step-4: Factors of 82986

List of positive integer factors of 82986 that divides 82972 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82972 and 82986. The biggest common factor number is the GCF number.
So the greatest common factor 82972 and 82986 is 2.

Also check out the Least Common Multiple of 82972 and 82986