What is the Greatest Common Factor of 82972 and 82976?

Greatest common factor (GCF) of 82972 and 82976 is 4.

GCF(82972,82976) = 4

We will now calculate the prime factors of 82972 and 82976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82972 and 82976.

How to find the GCF of 82972 and 82976?

We will first find the prime factorization of 82972 and 82976. After we will calculate the factors of 82972 and 82976 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 82976

Prime factors of 82976 are 2, 2593. Prime factorization of 82976 in exponential form is:

82976 = 2⁵ × 2593¹

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 82976

List of positive integer factors of 82976 that divides 82972 without a remainder.

1, 2, 4, 8, 16, 32, 2593, 5186, 10372, 20744, 41488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82972 and 82976. The biggest common factor number is the GCF number.
So the greatest common factor 82972 and 82976 is 4.

Also check out the Least Common Multiple of 82972 and 82976