What is the Greatest Common Factor of 86745 and 86760?

Greatest common factor (GCF) of 86745 and 86760 is 15.

GCF(86745,86760) = 15

We will now calculate the prime factors of 86745 and 86760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86745 and 86760.

How to find the GCF of 86745 and 86760?

We will first find the prime factorization of 86745 and 86760. After we will calculate the factors of 86745 and 86760 and find the biggest common factor number .

Step-1: Prime Factorization of 86745

Prime factors of 86745 are 3, 5, 5783. Prime factorization of 86745 in exponential form is:

86745 = 3¹ × 5¹ × 5783¹

Step-2: Prime Factorization of 86760

Prime factors of 86760 are 2, 3, 5, 241. Prime factorization of 86760 in exponential form is:

86760 = 2³ × 3² × 5¹ × 241¹

Step-3: Factors of 86745

List of positive integer factors of 86745 that divides 86745 without a remainder.

1, 3, 5, 15, 5783, 17349, 28915

Step-4: Factors of 86760

List of positive integer factors of 86760 that divides 86745 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 241, 360, 482, 723, 964, 1205, 1446, 1928, 2169, 2410, 2892, 3615, 4338, 4820, 5784, 7230, 8676, 9640, 10845, 14460, 17352, 21690, 28920, 43380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86745 and 86760. The biggest common factor number is the GCF number.
So the greatest common factor 86745 and 86760 is 15.

Also check out the Least Common Multiple of 86745 and 86760