What is the Greatest Common Factor of 85688 and 85700?

Greatest common factor (GCF) of 85688 and 85700 is 4.

GCF(85688,85700) = 4

We will now calculate the prime factors of 85688 and 85700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85688 and 85700.

How to find the GCF of 85688 and 85700?

We will first find the prime factorization of 85688 and 85700. After we will calculate the factors of 85688 and 85700 and find the biggest common factor number .

Step-1: Prime Factorization of 85688

Prime factors of 85688 are 2, 10711. Prime factorization of 85688 in exponential form is:

85688 = 2³ × 10711¹

Step-2: Prime Factorization of 85700

Prime factors of 85700 are 2, 5, 857. Prime factorization of 85700 in exponential form is:

85700 = 2² × 5² × 857¹

Step-3: Factors of 85688

List of positive integer factors of 85688 that divides 85688 without a remainder.

1, 2, 4, 8, 10711, 21422, 42844

Step-4: Factors of 85700

List of positive integer factors of 85700 that divides 85688 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 857, 1714, 3428, 4285, 8570, 17140, 21425, 42850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85688 and 85700. The biggest common factor number is the GCF number.
So the greatest common factor 85688 and 85700 is 4.

Also check out the Least Common Multiple of 85688 and 85700