What is the Greatest Common Factor of 88125 and 88136?

Greatest common factor (GCF) of 88125 and 88136 is 1.

GCF(88125,88136) = 1

We will now calculate the prime factors of 88125 and 88136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88125 and 88136.

How to find the GCF of 88125 and 88136?

We will first find the prime factorization of 88125 and 88136. After we will calculate the factors of 88125 and 88136 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 88136

Prime factors of 88136 are 2, 23, 479. Prime factorization of 88136 in exponential form is:

88136 = 2³ × 23¹ × 479¹

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 88136

List of positive integer factors of 88136 that divides 88125 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 479, 958, 1916, 3832, 11017, 22034, 44068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88125 and 88136. The biggest common factor number is the GCF number.
So the greatest common factor 88125 and 88136 is 1.

Also check out the Least Common Multiple of 88125 and 88136