What is the Greatest Common Factor of 88685 and 88700?

Greatest common factor (GCF) of 88685 and 88700 is 5.

GCF(88685,88700) = 5

We will now calculate the prime factors of 88685 and 88700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88685 and 88700.

How to find the GCF of 88685 and 88700?

We will first find the prime factorization of 88685 and 88700. After we will calculate the factors of 88685 and 88700 and find the biggest common factor number .

Step-1: Prime Factorization of 88685

Prime factors of 88685 are 5, 17737. Prime factorization of 88685 in exponential form is:

88685 = 5¹ × 17737¹

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 88685

List of positive integer factors of 88685 that divides 88685 without a remainder.

1, 5, 17737

Step-4: Factors of 88700

List of positive integer factors of 88700 that divides 88685 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 88685 and 88700. The biggest common factor number is the GCF number.
So the greatest common factor 88685 and 88700 is 5.

Also check out the Least Common Multiple of 88685 and 88700