What is the Greatest Common Factor of 88109 and 88125?

Greatest common factor (GCF) of 88109 and 88125 is 1.

GCF(88109,88125) = 1

We will now calculate the prime factors of 88109 and 88125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88109 and 88125.

How to find the GCF of 88109 and 88125?

We will first find the prime factorization of 88109 and 88125. After we will calculate the factors of 88109 and 88125 and find the biggest common factor number .

Step-1: Prime Factorization of 88109

Prime factors of 88109 are 7, 41, 307. Prime factorization of 88109 in exponential form is:

88109 = 7¹ × 41¹ × 307¹

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 88109

List of positive integer factors of 88109 that divides 88109 without a remainder.

1, 7, 41, 287, 307, 2149, 12587

Step-4: Factors of 88125

List of positive integer factors of 88125 that divides 88109 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 88109 and 88125. The biggest common factor number is the GCF number.
So the greatest common factor 88109 and 88125 is 1.

Also check out the Least Common Multiple of 88109 and 88125