What is the Greatest Common Factor of 87175 and 87188?

Greatest common factor (GCF) of 87175 and 87188 is 1.

GCF(87175,87188) = 1

We will now calculate the prime factors of 87175 and 87188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87175 and 87188.

How to find the GCF of 87175 and 87188?

We will first find the prime factorization of 87175 and 87188. After we will calculate the factors of 87175 and 87188 and find the biggest common factor number .

Step-1: Prime Factorization of 87175

Prime factors of 87175 are 5, 11, 317. Prime factorization of 87175 in exponential form is:

87175 = 5² × 11¹ × 317¹

Step-2: Prime Factorization of 87188

Prime factors of 87188 are 2, 71, 307. Prime factorization of 87188 in exponential form is:

87188 = 2² × 71¹ × 307¹

Step-3: Factors of 87175

List of positive integer factors of 87175 that divides 87175 without a remainder.

1, 5, 11, 25, 55, 275, 317, 1585, 3487, 7925, 17435

Step-4: Factors of 87188

List of positive integer factors of 87188 that divides 87175 without a remainder.

1, 2, 4, 71, 142, 284, 307, 614, 1228, 21797, 43594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87175 and 87188. The biggest common factor number is the GCF number.
So the greatest common factor 87175 and 87188 is 1.

Also check out the Least Common Multiple of 87175 and 87188