What is the Greatest Common Factor of 86972 and 86989?

Greatest common factor (GCF) of 86972 and 86989 is 17.

GCF(86972,86989) = 17

We will now calculate the prime factors of 86972 and 86989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86972 and 86989.

How to find the GCF of 86972 and 86989?

We will first find the prime factorization of 86972 and 86989. After we will calculate the factors of 86972 and 86989 and find the biggest common factor number .

Step-1: Prime Factorization of 86972

Prime factors of 86972 are 2, 17, 1279. Prime factorization of 86972 in exponential form is:

86972 = 2² × 17¹ × 1279¹

Step-2: Prime Factorization of 86989

Prime factors of 86989 are 7, 17, 43. Prime factorization of 86989 in exponential form is:

86989 = 7¹ × 17² × 43¹

Step-3: Factors of 86972

List of positive integer factors of 86972 that divides 86972 without a remainder.

1, 2, 4, 17, 34, 68, 1279, 2558, 5116, 21743, 43486

Step-4: Factors of 86989

List of positive integer factors of 86989 that divides 86972 without a remainder.

1, 7, 17, 43, 119, 289, 301, 731, 2023, 5117, 12427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86972 and 86989. The biggest common factor number is the GCF number.
So the greatest common factor 86972 and 86989 is 17.

Also check out the Least Common Multiple of 86972 and 86989