What is the Greatest Common Factor of 87135 and 87155?

Greatest common factor (GCF) of 87135 and 87155 is 5.

GCF(87135,87155) = 5

We will now calculate the prime factors of 87135 and 87155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87135 and 87155.

How to find the GCF of 87135 and 87155?

We will first find the prime factorization of 87135 and 87155. After we will calculate the factors of 87135 and 87155 and find the biggest common factor number .

Step-1: Prime Factorization of 87135

Prime factors of 87135 are 3, 5, 37, 157. Prime factorization of 87135 in exponential form is:

87135 = 3¹ × 5¹ × 37¹ × 157¹

Step-2: Prime Factorization of 87155

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

87155 = 5¹ × 17431¹

Step-3: Factors of 87135

List of positive integer factors of 87135 that divides 87135 without a remainder.

1, 3, 5, 15, 37, 111, 157, 185, 471, 555, 785, 2355, 5809, 17427, 29045

Step-4: Factors of 87155

List of positive integer factors of 87155 that divides 87135 without a remainder.

1, 5, 17431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87135 and 87155. The biggest common factor number is the GCF number.
So the greatest common factor 87135 and 87155 is 5.

Also check out the Least Common Multiple of 87135 and 87155