What is the Greatest Common Factor of 87155 and 87175?

Greatest common factor (GCF) of 87155 and 87175 is 5.

GCF(87155,87175) = 5

We will now calculate the prime factors of 87155 and 87175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87155 and 87175.

How to find the GCF of 87155 and 87175?

We will first find the prime factorization of 87155 and 87175. After we will calculate the factors of 87155 and 87175 and find the biggest common factor number .

Step-1: Prime Factorization of 87155

Prime factors of 87155 are 5, 17431. Prime factorization of 87155 in exponential form is:

87155 = 5¹ × 17431¹

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 87155

List of positive integer factors of 87155 that divides 87155 without a remainder.

1, 5, 17431

Step-4: Factors of 87175

List of positive integer factors of 87175 that divides 87155 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 87155 and 87175. The biggest common factor number is the GCF number.
So the greatest common factor 87155 and 87175 is 5.

Also check out the Least Common Multiple of 87155 and 87175