What is the Greatest Common Factor of 88700 and 88716?

Greatest common factor (GCF) of 88700 and 88716 is 4.

GCF(88700,88716) = 4

We will now calculate the prime factors of 88700 and 88716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88700 and 88716.

How to find the GCF of 88700 and 88716?

We will first find the prime factorization of 88700 and 88716. After we will calculate the factors of 88700 and 88716 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88716

Prime factors of 88716 are 2, 3, 7393. Prime factorization of 88716 in exponential form is:

88716 = 2² × 3¹ × 7393¹

Step-3: Factors of 88700

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

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

Step-4: Factors of 88716

List of positive integer factors of 88716 that divides 88700 without a remainder.

1, 2, 3, 4, 6, 12, 7393, 14786, 22179, 29572, 44358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88700 and 88716. The biggest common factor number is the GCF number.
So the greatest common factor 88700 and 88716 is 4.

Also check out the Least Common Multiple of 88700 and 88716