What is the Greatest Common Factor of 8685 and 8700?

Greatest common factor (GCF) of 8685 and 8700 is 15.

GCF(8685,8700) = 15

We will now calculate the prime factors of 8685 and 8700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8685 and 8700.

How to find the GCF of 8685 and 8700?

We will first find the prime factorization of 8685 and 8700. After we will calculate the factors of 8685 and 8700 and find the biggest common factor number .

Step-1: Prime Factorization of 8685

Prime factors of 8685 are 3, 5, 193. Prime factorization of 8685 in exponential form is:

8685 = 3² × 5¹ × 193¹

Step-2: Prime Factorization of 8700

Prime factors of 8700 are 2, 3, 5, 29. Prime factorization of 8700 in exponential form is:

8700 = 2² × 3¹ × 5² × 29¹

Step-3: Factors of 8685

List of positive integer factors of 8685 that divides 8685 without a remainder.

1, 3, 5, 9, 15, 45, 193, 579, 965, 1737, 2895

Step-4: Factors of 8700

List of positive integer factors of 8700 that divides 8685 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 29, 30, 50, 58, 60, 75, 87, 100, 116, 145, 150, 174, 290, 300, 348, 435, 580, 725, 870, 1450, 1740, 2175, 2900, 4350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8685 and 8700. The biggest common factor number is the GCF number.
So the greatest common factor 8685 and 8700 is 15.

Also check out the Least Common Multiple of 8685 and 8700