What is the Greatest Common Factor of 75075 and 75085?

Greatest common factor (GCF) of 75075 and 75085 is 5.

GCF(75075,75085) = 5

We will now calculate the prime factors of 75075 and 75085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75075 and 75085.

How to find the GCF of 75075 and 75085?

We will first find the prime factorization of 75075 and 75085. After we will calculate the factors of 75075 and 75085 and find the biggest common factor number .

Step-1: Prime Factorization of 75075

Prime factors of 75075 are 3, 5, 7, 11, 13. Prime factorization of 75075 in exponential form is:

75075 = 3¹ × 5² × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 75085

Prime factors of 75085 are 5, 15017. Prime factorization of 75085 in exponential form is:

75085 = 5¹ × 15017¹

Step-3: Factors of 75075

List of positive integer factors of 75075 that divides 75075 without a remainder.

1, 3, 5, 7, 11, 13, 15, 21, 25, 33, 35, 39, 55, 65, 75, 77, 91, 105, 143, 165, 175, 195, 231, 273, 275, 325, 385, 429, 455, 525, 715, 825, 975, 1001, 1155, 1365, 1925, 2145, 2275, 3003, 3575, 5005, 5775, 6825, 10725, 15015, 25025

Step-4: Factors of 75085

List of positive integer factors of 75085 that divides 75075 without a remainder.

1, 5, 15017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75075 and 75085. The biggest common factor number is the GCF number.
So the greatest common factor 75075 and 75085 is 5.

Also check out the Least Common Multiple of 75075 and 75085