What is the Greatest Common Factor of 88375 and 88385?

Greatest common factor (GCF) of 88375 and 88385 is 5.

GCF(88375,88385) = 5

We will now calculate the prime factors of 88375 and 88385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88375 and 88385.

How to find the GCF of 88375 and 88385?

We will first find the prime factorization of 88375 and 88385. After we will calculate the factors of 88375 and 88385 and find the biggest common factor number .

Step-1: Prime Factorization of 88375

Prime factors of 88375 are 5, 7, 101. Prime factorization of 88375 in exponential form is:

88375 = 5³ × 7¹ × 101¹

Step-2: Prime Factorization of 88385

Prime factors of 88385 are 5, 11, 1607. Prime factorization of 88385 in exponential form is:

88385 = 5¹ × 11¹ × 1607¹

Step-3: Factors of 88375

List of positive integer factors of 88375 that divides 88375 without a remainder.

1, 5, 7, 25, 35, 101, 125, 175, 505, 707, 875, 2525, 3535, 12625, 17675

Step-4: Factors of 88385

List of positive integer factors of 88385 that divides 88375 without a remainder.

1, 5, 11, 55, 1607, 8035, 17677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88375 and 88385. The biggest common factor number is the GCF number.
So the greatest common factor 88375 and 88385 is 5.

Also check out the Least Common Multiple of 88375 and 88385