What is the Greatest Common Factor of 86670 and 86680?

Greatest common factor (GCF) of 86670 and 86680 is 10.

GCF(86670,86680) = 10

We will now calculate the prime factors of 86670 and 86680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86670 and 86680.

How to find the GCF of 86670 and 86680?

We will first find the prime factorization of 86670 and 86680. After we will calculate the factors of 86670 and 86680 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 86680

Prime factors of 86680 are 2, 5, 11, 197. Prime factorization of 86680 in exponential form is:

86680 = 2³ × 5¹ × 11¹ × 197¹

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 86680

List of positive integer factors of 86680 that divides 86670 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 197, 220, 394, 440, 788, 985, 1576, 1970, 2167, 3940, 4334, 7880, 8668, 10835, 17336, 21670, 43340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86670 and 86680. The biggest common factor number is the GCF number.
So the greatest common factor 86670 and 86680 is 10.

Also check out the Least Common Multiple of 86670 and 86680