What is the Greatest Common Factor of 8700 and 8716?

Greatest common factor (GCF) of 8700 and 8716 is 4.

GCF(8700,8716) = 4

We will now calculate the prime factors of 8700 and 8716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8700 and 8716.

How to find the GCF of 8700 and 8716?

We will first find the prime factorization of 8700 and 8716. After we will calculate the factors of 8700 and 8716 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8716

Prime factors of 8716 are 2, 2179. Prime factorization of 8716 in exponential form is:

8716 = 2² × 2179¹

Step-3: Factors of 8700

List of positive integer factors of 8700 that divides 8700 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

Step-4: Factors of 8716

List of positive integer factors of 8716 that divides 8700 without a remainder.

1, 2, 4, 2179, 4358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8700 and 8716. The biggest common factor number is the GCF number.
So the greatest common factor 8700 and 8716 is 4.

Also check out the Least Common Multiple of 8700 and 8716