What is the Greatest Common Factor of 99075 and 99085?

Greatest common factor (GCF) of 99075 and 99085 is 5.

GCF(99075,99085) = 5

We will now calculate the prime factors of 99075 and 99085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99075 and 99085.

How to find the GCF of 99075 and 99085?

We will first find the prime factorization of 99075 and 99085. After we will calculate the factors of 99075 and 99085 and find the biggest common factor number .

Step-1: Prime Factorization of 99075

Prime factors of 99075 are 3, 5, 1321. Prime factorization of 99075 in exponential form is:

99075 = 3¹ × 5² × 1321¹

Step-2: Prime Factorization of 99085

Prime factors of 99085 are 5, 7, 19, 149. Prime factorization of 99085 in exponential form is:

99085 = 5¹ × 7¹ × 19¹ × 149¹

Step-3: Factors of 99075

List of positive integer factors of 99075 that divides 99075 without a remainder.

1, 3, 5, 15, 25, 75, 1321, 3963, 6605, 19815, 33025

Step-4: Factors of 99085

List of positive integer factors of 99085 that divides 99075 without a remainder.

1, 5, 7, 19, 35, 95, 133, 149, 665, 745, 1043, 2831, 5215, 14155, 19817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99075 and 99085. The biggest common factor number is the GCF number.
So the greatest common factor 99075 and 99085 is 5.

Also check out the Least Common Multiple of 99075 and 99085