What is the Greatest Common Factor of 88115 and 88125?

Greatest common factor (GCF) of 88115 and 88125 is 5.

GCF(88115,88125) = 5

We will now calculate the prime factors of 88115 and 88125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88115 and 88125.

How to find the GCF of 88115 and 88125?

We will first find the prime factorization of 88115 and 88125. After we will calculate the factors of 88115 and 88125 and find the biggest common factor number .

Step-1: Prime Factorization of 88115

Prime factors of 88115 are 5, 17623. Prime factorization of 88115 in exponential form is:

88115 = 5¹ × 17623¹

Step-2: Prime Factorization of 88125

Prime factors of 88125 are 3, 5, 47. Prime factorization of 88125 in exponential form is:

88125 = 3¹ × 5⁴ × 47¹

Step-3: Factors of 88115

List of positive integer factors of 88115 that divides 88115 without a remainder.

1, 5, 17623

Step-4: Factors of 88125

List of positive integer factors of 88125 that divides 88115 without a remainder.

1, 3, 5, 15, 25, 47, 75, 125, 141, 235, 375, 625, 705, 1175, 1875, 3525, 5875, 17625, 29375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88115 and 88125. The biggest common factor number is the GCF number.
So the greatest common factor 88115 and 88125 is 5.

Also check out the Least Common Multiple of 88115 and 88125