What is the Greatest Common Factor of 88680 and 88700?

Greatest common factor (GCF) of 88680 and 88700 is 20.

GCF(88680,88700) = 20

We will now calculate the prime factors of 88680 and 88700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88680 and 88700.

How to find the GCF of 88680 and 88700?

We will first find the prime factorization of 88680 and 88700. After we will calculate the factors of 88680 and 88700 and find the biggest common factor number .

Step-1: Prime Factorization of 88680

Prime factors of 88680 are 2, 3, 5, 739. Prime factorization of 88680 in exponential form is:

88680 = 2³ × 3¹ × 5¹ × 739¹

Step-2: Prime Factorization of 88700

Prime factors of 88700 are 2, 5, 887. Prime factorization of 88700 in exponential form is:

88700 = 2² × 5² × 887¹

Step-3: Factors of 88680

List of positive integer factors of 88680 that divides 88680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 739, 1478, 2217, 2956, 3695, 4434, 5912, 7390, 8868, 11085, 14780, 17736, 22170, 29560, 44340

Step-4: Factors of 88700

List of positive integer factors of 88700 that divides 88680 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 887, 1774, 3548, 4435, 8870, 17740, 22175, 44350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88680 and 88700. The biggest common factor number is the GCF number.
So the greatest common factor 88680 and 88700 is 20.

Also check out the Least Common Multiple of 88680 and 88700