What is the Greatest Common Factor of 86739 and 86745?

Greatest common factor (GCF) of 86739 and 86745 is 3.

GCF(86739,86745) = 3

We will now calculate the prime factors of 86739 and 86745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86739 and 86745.

How to find the GCF of 86739 and 86745?

We will first find the prime factorization of 86739 and 86745. After we will calculate the factors of 86739 and 86745 and find the biggest common factor number .

Step-1: Prime Factorization of 86739

Prime factors of 86739 are 3, 29, 997. Prime factorization of 86739 in exponential form is:

86739 = 3¹ × 29¹ × 997¹

Step-2: Prime Factorization of 86745

Prime factors of 86745 are 3, 5, 5783. Prime factorization of 86745 in exponential form is:

86745 = 3¹ × 5¹ × 5783¹

Step-3: Factors of 86739

List of positive integer factors of 86739 that divides 86739 without a remainder.

1, 3, 29, 87, 997, 2991, 28913

Step-4: Factors of 86745

List of positive integer factors of 86745 that divides 86739 without a remainder.

1, 3, 5, 15, 5783, 17349, 28915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86739 and 86745. The biggest common factor number is the GCF number.
So the greatest common factor 86739 and 86745 is 3.

Also check out the Least Common Multiple of 86739 and 86745