What is the Greatest Common Factor of 87170 and 87175?

Greatest common factor (GCF) of 87170 and 87175 is 5.

GCF(87170,87175) = 5

We will now calculate the prime factors of 87170 and 87175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87170 and 87175.

How to find the GCF of 87170 and 87175?

We will first find the prime factorization of 87170 and 87175. After we will calculate the factors of 87170 and 87175 and find the biggest common factor number .

Step-1: Prime Factorization of 87170

Prime factors of 87170 are 2, 5, 23, 379. Prime factorization of 87170 in exponential form is:

87170 = 2¹ × 5¹ × 23¹ × 379¹

Step-2: 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-3: Factors of 87170

List of positive integer factors of 87170 that divides 87170 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 379, 758, 1895, 3790, 8717, 17434, 43585

Step-4: Factors of 87175

List of positive integer factors of 87175 that divides 87170 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87170 and 87175. The biggest common factor number is the GCF number.
So the greatest common factor 87170 and 87175 is 5.

Also check out the Least Common Multiple of 87170 and 87175