What is the Greatest Common Factor of 88125 and 88140?

Greatest common factor (GCF) of 88125 and 88140 is 15.

GCF(88125,88140) = 15

We will now calculate the prime factors of 88125 and 88140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88125 and 88140.

How to find the GCF of 88125 and 88140?

We will first find the prime factorization of 88125 and 88140. After we will calculate the factors of 88125 and 88140 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 88140

Prime factors of 88140 are 2, 3, 5, 13, 113. Prime factorization of 88140 in exponential form is:

88140 = 2² × 3¹ × 5¹ × 13¹ × 113¹

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 88140

List of positive integer factors of 88140 that divides 88125 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 113, 130, 156, 195, 226, 260, 339, 390, 452, 565, 678, 780, 1130, 1356, 1469, 1695, 2260, 2938, 3390, 4407, 5876, 6780, 7345, 8814, 14690, 17628, 22035, 29380, 44070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88125 and 88140. The biggest common factor number is the GCF number.
So the greatest common factor 88125 and 88140 is 15.

Also check out the Least Common Multiple of 88125 and 88140