What is the Greatest Common Factor of 87175 and 87195?

Greatest common factor (GCF) of 87175 and 87195 is 5.

GCF(87175,87195) = 5

We will now calculate the prime factors of 87175 and 87195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87175 and 87195.

How to find the GCF of 87175 and 87195?

We will first find the prime factorization of 87175 and 87195. After we will calculate the factors of 87175 and 87195 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 87195

Prime factors of 87195 are 3, 5, 5813. Prime factorization of 87195 in exponential form is:

87195 = 3¹ × 5¹ × 5813¹

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 87195

List of positive integer factors of 87195 that divides 87175 without a remainder.

1, 3, 5, 15, 5813, 17439, 29065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87175 and 87195. The biggest common factor number is the GCF number.
So the greatest common factor 87175 and 87195 is 5.

Also check out the Least Common Multiple of 87175 and 87195