What is the Greatest Common Factor of 86670 and 86675?

Greatest common factor (GCF) of 86670 and 86675 is 5.

GCF(86670,86675) = 5

We will now calculate the prime factors of 86670 and 86675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86670 and 86675.

How to find the GCF of 86670 and 86675?

We will first find the prime factorization of 86670 and 86675. After we will calculate the factors of 86670 and 86675 and find the biggest common factor number .

Step-1: Prime Factorization of 86670

Prime factors of 86670 are 2, 3, 5, 107. Prime factorization of 86670 in exponential form is:

86670 = 2¹ × 3⁴ × 5¹ × 107¹

Step-2: Prime Factorization of 86675

Prime factors of 86675 are 5, 3467. Prime factorization of 86675 in exponential form is:

86675 = 5² × 3467¹

Step-3: Factors of 86670

List of positive integer factors of 86670 that divides 86670 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 107, 135, 162, 214, 270, 321, 405, 535, 642, 810, 963, 1070, 1605, 1926, 2889, 3210, 4815, 5778, 8667, 9630, 14445, 17334, 28890, 43335

Step-4: Factors of 86675

List of positive integer factors of 86675 that divides 86670 without a remainder.

1, 5, 25, 3467, 17335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86670 and 86675. The biggest common factor number is the GCF number.
So the greatest common factor 86670 and 86675 is 5.

Also check out the Least Common Multiple of 86670 and 86675