What is the Greatest Common Factor of 88370 and 88375?

Greatest common factor (GCF) of 88370 and 88375 is 5.

GCF(88370,88375) = 5

We will now calculate the prime factors of 88370 and 88375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88370 and 88375.

How to find the GCF of 88370 and 88375?

We will first find the prime factorization of 88370 and 88375. After we will calculate the factors of 88370 and 88375 and find the biggest common factor number .

Step-1: Prime Factorization of 88370

Prime factors of 88370 are 2, 5, 8837. Prime factorization of 88370 in exponential form is:

88370 = 2¹ × 5¹ × 8837¹

Step-2: 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-3: Factors of 88370

List of positive integer factors of 88370 that divides 88370 without a remainder.

1, 2, 5, 10, 8837, 17674, 44185

Step-4: Factors of 88375

List of positive integer factors of 88375 that divides 88370 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88370 and 88375. The biggest common factor number is the GCF number.
So the greatest common factor 88370 and 88375 is 5.

Also check out the Least Common Multiple of 88370 and 88375