What is the Greatest Common Factor of 86350 and 86360?

Greatest common factor (GCF) of 86350 and 86360 is 10.

GCF(86350,86360) = 10

We will now calculate the prime factors of 86350 and 86360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86350 and 86360.

How to find the GCF of 86350 and 86360?

We will first find the prime factorization of 86350 and 86360. After we will calculate the factors of 86350 and 86360 and find the biggest common factor number .

Step-1: Prime Factorization of 86350

Prime factors of 86350 are 2, 5, 11, 157. Prime factorization of 86350 in exponential form is:

86350 = 2¹ × 5² × 11¹ × 157¹

Step-2: Prime Factorization of 86360

Prime factors of 86360 are 2, 5, 17, 127. Prime factorization of 86360 in exponential form is:

86360 = 2³ × 5¹ × 17¹ × 127¹

Step-3: Factors of 86350

List of positive integer factors of 86350 that divides 86350 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 157, 275, 314, 550, 785, 1570, 1727, 3454, 3925, 7850, 8635, 17270, 43175

Step-4: Factors of 86360

List of positive integer factors of 86360 that divides 86350 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 127, 136, 170, 254, 340, 508, 635, 680, 1016, 1270, 2159, 2540, 4318, 5080, 8636, 10795, 17272, 21590, 43180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86350 and 86360. The biggest common factor number is the GCF number.
So the greatest common factor 86350 and 86360 is 10.

Also check out the Least Common Multiple of 86350 and 86360