What is the Greatest Common Factor of 86340 and 86360?

Greatest common factor (GCF) of 86340 and 86360 is 20.

GCF(86340,86360) = 20

We will now calculate the prime factors of 86340 and 86360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86340 and 86360.

How to find the GCF of 86340 and 86360?

We will first find the prime factorization of 86340 and 86360. After we will calculate the factors of 86340 and 86360 and find the biggest common factor number .

Step-1: Prime Factorization of 86340

Prime factors of 86340 are 2, 3, 5, 1439. Prime factorization of 86340 in exponential form is:

86340 = 2² × 3¹ × 5¹ × 1439¹

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 86340

List of positive integer factors of 86340 that divides 86340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1439, 2878, 4317, 5756, 7195, 8634, 14390, 17268, 21585, 28780, 43170

Step-4: Factors of 86360

List of positive integer factors of 86360 that divides 86340 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 86340 and 86360. The biggest common factor number is the GCF number.
So the greatest common factor 86340 and 86360 is 20.

Also check out the Least Common Multiple of 86340 and 86360