What is the Greatest Common Factor of 88125 and 88131?

Greatest common factor (GCF) of 88125 and 88131 is 3.

GCF(88125,88131) = 3

We will now calculate the prime factors of 88125 and 88131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88125 and 88131.

How to find the GCF of 88125 and 88131?

We will first find the prime factorization of 88125 and 88131. After we will calculate the factors of 88125 and 88131 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 88131

Prime factors of 88131 are 3, 29, 1013. Prime factorization of 88131 in exponential form is:

88131 = 3¹ × 29¹ × 1013¹

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 88131

List of positive integer factors of 88131 that divides 88125 without a remainder.

1, 3, 29, 87, 1013, 3039, 29377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88125 and 88131. The biggest common factor number is the GCF number.
So the greatest common factor 88125 and 88131 is 3.

Also check out the Least Common Multiple of 88125 and 88131