What is the Greatest Common Factor of 88125 and 88132?

Greatest common factor (GCF) of 88125 and 88132 is 1.

GCF(88125,88132) = 1

We will now calculate the prime factors of 88125 and 88132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88125 and 88132.

How to find the GCF of 88125 and 88132?

We will first find the prime factorization of 88125 and 88132. After we will calculate the factors of 88125 and 88132 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88132

Prime factors of 88132 are 2, 11, 2003. Prime factorization of 88132 in exponential form is:

88132 = 2² × 11¹ × 2003¹

Step-3: Factors of 88125

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

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

Step-4: Factors of 88132

List of positive integer factors of 88132 that divides 88125 without a remainder.

1, 2, 4, 11, 22, 44, 2003, 4006, 8012, 22033, 44066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88125 and 88132. The biggest common factor number is the GCF number.
So the greatest common factor 88125 and 88132 is 1.

Also check out the Least Common Multiple of 88125 and 88132