What is the Greatest Common Factor of 89165 and 89175?

Greatest common factor (GCF) of 89165 and 89175 is 5.

GCF(89165,89175) = 5

We will now calculate the prime factors of 89165 and 89175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89165 and 89175.

How to find the GCF of 89165 and 89175?

We will first find the prime factorization of 89165 and 89175. After we will calculate the factors of 89165 and 89175 and find the biggest common factor number .

Step-1: Prime Factorization of 89165

Prime factors of 89165 are 5, 17, 1049. Prime factorization of 89165 in exponential form is:

89165 = 5¹ × 17¹ × 1049¹

Step-2: Prime Factorization of 89175

Prime factors of 89175 are 3, 5, 29, 41. Prime factorization of 89175 in exponential form is:

89175 = 3¹ × 5² × 29¹ × 41¹

Step-3: Factors of 89165

List of positive integer factors of 89165 that divides 89165 without a remainder.

1, 5, 17, 85, 1049, 5245, 17833

Step-4: Factors of 89175

List of positive integer factors of 89175 that divides 89165 without a remainder.

1, 3, 5, 15, 25, 29, 41, 75, 87, 123, 145, 205, 435, 615, 725, 1025, 1189, 2175, 3075, 3567, 5945, 17835, 29725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89165 and 89175. The biggest common factor number is the GCF number.
So the greatest common factor 89165 and 89175 is 5.

Also check out the Least Common Multiple of 89165 and 89175