What is the Greatest Common Factor of 86655 and 86670?

Greatest common factor (GCF) of 86655 and 86670 is 15.

GCF(86655,86670) = 15

We will now calculate the prime factors of 86655 and 86670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86655 and 86670.

How to find the GCF of 86655 and 86670?

We will first find the prime factorization of 86655 and 86670. After we will calculate the factors of 86655 and 86670 and find the biggest common factor number .

Step-1: Prime Factorization of 86655

Prime factors of 86655 are 3, 5, 53, 109. Prime factorization of 86655 in exponential form is:

86655 = 3¹ × 5¹ × 53¹ × 109¹

Step-2: 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-3: Factors of 86655

List of positive integer factors of 86655 that divides 86655 without a remainder.

1, 3, 5, 15, 53, 109, 159, 265, 327, 545, 795, 1635, 5777, 17331, 28885

Step-4: Factors of 86670

List of positive integer factors of 86670 that divides 86655 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86655 and 86670. The biggest common factor number is the GCF number.
So the greatest common factor 86655 and 86670 is 15.

Also check out the Least Common Multiple of 86655 and 86670