What is the Greatest Common Factor of 75057 and 75075?

Greatest common factor (GCF) of 75057 and 75075 is 3.

GCF(75057,75075) = 3

We will now calculate the prime factors of 75057 and 75075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75057 and 75075.

How to find the GCF of 75057 and 75075?

We will first find the prime factorization of 75057 and 75075. After we will calculate the factors of 75057 and 75075 and find the biggest common factor number .

Step-1: Prime Factorization of 75057

Prime factors of 75057 are 3, 127, 197. Prime factorization of 75057 in exponential form is:

75057 = 3¹ × 127¹ × 197¹

Step-2: 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-3: Factors of 75057

List of positive integer factors of 75057 that divides 75057 without a remainder.

1, 3, 127, 197, 381, 591, 25019

Step-4: Factors of 75075

List of positive integer factors of 75075 that divides 75057 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75057 and 75075. The biggest common factor number is the GCF number.
So the greatest common factor 75057 and 75075 is 3.

Also check out the Least Common Multiple of 75057 and 75075