What is the Greatest Common Factor of 99155 and 99175?

Greatest common factor (GCF) of 99155 and 99175 is 5.

GCF(99155,99175) = 5

We will now calculate the prime factors of 99155 and 99175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99155 and 99175.

How to find the GCF of 99155 and 99175?

We will first find the prime factorization of 99155 and 99175. After we will calculate the factors of 99155 and 99175 and find the biggest common factor number .

Step-1: Prime Factorization of 99155

Prime factors of 99155 are 5, 7, 2833. Prime factorization of 99155 in exponential form is:

99155 = 5¹ × 7¹ × 2833¹

Step-2: Prime Factorization of 99175

Prime factors of 99175 are 5, 3967. Prime factorization of 99175 in exponential form is:

99175 = 5² × 3967¹

Step-3: Factors of 99155

List of positive integer factors of 99155 that divides 99155 without a remainder.

1, 5, 7, 35, 2833, 14165, 19831

Step-4: Factors of 99175

List of positive integer factors of 99175 that divides 99155 without a remainder.

1, 5, 25, 3967, 19835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99155 and 99175. The biggest common factor number is the GCF number.
So the greatest common factor 99155 and 99175 is 5.

Also check out the Least Common Multiple of 99155 and 99175