What is the Greatest Common Factor of 82972 and 82987?

Greatest common factor (GCF) of 82972 and 82987 is 1.

GCF(82972,82987) = 1

We will now calculate the prime factors of 82972 and 82987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82972 and 82987.

How to find the GCF of 82972 and 82987?

We will first find the prime factorization of 82972 and 82987. After we will calculate the factors of 82972 and 82987 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 82987

Prime factors of 82987 are 31, 2677. Prime factorization of 82987 in exponential form is:

82987 = 31¹ × 2677¹

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 82987

List of positive integer factors of 82987 that divides 82972 without a remainder.

1, 31, 2677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82972 and 82987. The biggest common factor number is the GCF number.
So the greatest common factor 82972 and 82987 is 1.

Also check out the Least Common Multiple of 82972 and 82987