What is the Greatest Common Factor of 75075 and 75086?

Greatest common factor (GCF) of 75075 and 75086 is 11.

GCF(75075,75086) = 11

We will now calculate the prime factors of 75075 and 75086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75075 and 75086.

How to find the GCF of 75075 and 75086?

We will first find the prime factorization of 75075 and 75086. After we will calculate the factors of 75075 and 75086 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 75086

Prime factors of 75086 are 2, 11, 3413. Prime factorization of 75086 in exponential form is:

75086 = 2¹ × 11¹ × 3413¹

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 75086

List of positive integer factors of 75086 that divides 75075 without a remainder.

1, 2, 11, 22, 3413, 6826, 37543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75075 and 75086. The biggest common factor number is the GCF number.
So the greatest common factor 75075 and 75086 is 11.

Also check out the Least Common Multiple of 75075 and 75086