What is the Greatest Common Factor of 8700 and 8720?

Greatest common factor (GCF) of 8700 and 8720 is 20.

GCF(8700,8720) = 20

We will now calculate the prime factors of 8700 and 8720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8700 and 8720.

How to find the GCF of 8700 and 8720?

We will first find the prime factorization of 8700 and 8720. After we will calculate the factors of 8700 and 8720 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 8720

Prime factors of 8720 are 2, 5, 109. Prime factorization of 8720 in exponential form is:

8720 = 2⁴ × 5¹ × 109¹

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 8720

List of positive integer factors of 8720 that divides 8700 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8700 and 8720. The biggest common factor number is the GCF number.
So the greatest common factor 8700 and 8720 is 20.

Also check out the Least Common Multiple of 8700 and 8720