What is the Greatest Common Factor of 86696 and 86700?

Greatest common factor (GCF) of 86696 and 86700 is 4.

GCF(86696,86700) = 4

We will now calculate the prime factors of 86696 and 86700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86696 and 86700.

How to find the GCF of 86696 and 86700?

We will first find the prime factorization of 86696 and 86700. After we will calculate the factors of 86696 and 86700 and find the biggest common factor number .

Step-1: Prime Factorization of 86696

Prime factors of 86696 are 2, 10837. Prime factorization of 86696 in exponential form is:

86696 = 2³ × 10837¹

Step-2: Prime Factorization of 86700

Prime factors of 86700 are 2, 3, 5, 17. Prime factorization of 86700 in exponential form is:

86700 = 2² × 3¹ × 5² × 17²

Step-3: Factors of 86696

List of positive integer factors of 86696 that divides 86696 without a remainder.

1, 2, 4, 8, 10837, 21674, 43348

Step-4: Factors of 86700

List of positive integer factors of 86700 that divides 86696 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 289, 300, 340, 425, 510, 578, 850, 867, 1020, 1156, 1275, 1445, 1700, 1734, 2550, 2890, 3468, 4335, 5100, 5780, 7225, 8670, 14450, 17340, 21675, 28900, 43350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86696 and 86700. The biggest common factor number is the GCF number.
So the greatest common factor 86696 and 86700 is 4.

Also check out the Least Common Multiple of 86696 and 86700