What is the Greatest Common Factor of 82968 and 82972?

Greatest common factor (GCF) of 82968 and 82972 is 4.

GCF(82968,82972) = 4

We will now calculate the prime factors of 82968 and 82972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82968 and 82972.

How to find the GCF of 82968 and 82972?

We will first find the prime factorization of 82968 and 82972. After we will calculate the factors of 82968 and 82972 and find the biggest common factor number .

Step-1: Prime Factorization of 82968

Prime factors of 82968 are 2, 3, 3457. Prime factorization of 82968 in exponential form is:

82968 = 2³ × 3¹ × 3457¹

Step-2: Prime Factorization of 82972

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

82972 = 2² × 20743¹

Step-3: Factors of 82968

List of positive integer factors of 82968 that divides 82968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3457, 6914, 10371, 13828, 20742, 27656, 41484

Step-4: Factors of 82972

List of positive integer factors of 82972 that divides 82968 without a remainder.

1, 2, 4, 20743, 41486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82968 and 82972. The biggest common factor number is the GCF number.
So the greatest common factor 82968 and 82972 is 4.

Also check out the Least Common Multiple of 82968 and 82972