What is the Greatest Common Factor of 86980 and 86987?

Greatest common factor (GCF) of 86980 and 86987 is 1.

GCF(86980,86987) = 1

We will now calculate the prime factors of 86980 and 86987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86980 and 86987.

How to find the GCF of 86980 and 86987?

We will first find the prime factorization of 86980 and 86987. After we will calculate the factors of 86980 and 86987 and find the biggest common factor number .

Step-1: Prime Factorization of 86980

Prime factors of 86980 are 2, 5, 4349. Prime factorization of 86980 in exponential form is:

86980 = 2² × 5¹ × 4349¹

Step-2: Prime Factorization of 86987

Prime factors of 86987 are 37, 2351. Prime factorization of 86987 in exponential form is:

86987 = 37¹ × 2351¹

Step-3: Factors of 86980

List of positive integer factors of 86980 that divides 86980 without a remainder.

1, 2, 4, 5, 10, 20, 4349, 8698, 17396, 21745, 43490

Step-4: Factors of 86987

List of positive integer factors of 86987 that divides 86980 without a remainder.

1, 37, 2351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86980 and 86987. The biggest common factor number is the GCF number.
So the greatest common factor 86980 and 86987 is 1.

Also check out the Least Common Multiple of 86980 and 86987