What is the Greatest Common Factor of 88175 and 88195?

Greatest common factor (GCF) of 88175 and 88195 is 5.

GCF(88175,88195) = 5

We will now calculate the prime factors of 88175 and 88195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88175 and 88195.

How to find the GCF of 88175 and 88195?

We will first find the prime factorization of 88175 and 88195. After we will calculate the factors of 88175 and 88195 and find the biggest common factor number .

Step-1: Prime Factorization of 88175

Prime factors of 88175 are 5, 3527. Prime factorization of 88175 in exponential form is:

88175 = 5² × 3527¹

Step-2: Prime Factorization of 88195

Prime factors of 88195 are 5, 31, 569. Prime factorization of 88195 in exponential form is:

88195 = 5¹ × 31¹ × 569¹

Step-3: Factors of 88175

List of positive integer factors of 88175 that divides 88175 without a remainder.

1, 5, 25, 3527, 17635

Step-4: Factors of 88195

List of positive integer factors of 88195 that divides 88175 without a remainder.

1, 5, 31, 155, 569, 2845, 17639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88175 and 88195. The biggest common factor number is the GCF number.
So the greatest common factor 88175 and 88195 is 5.

Also check out the Least Common Multiple of 88175 and 88195