What is the Greatest Common Factor of 75042 and 75057?

Greatest common factor (GCF) of 75042 and 75057 is 3.

GCF(75042,75057) = 3

We will now calculate the prime factors of 75042 and 75057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75042 and 75057.

How to find the GCF of 75042 and 75057?

We will first find the prime factorization of 75042 and 75057. After we will calculate the factors of 75042 and 75057 and find the biggest common factor number .

Step-1: Prime Factorization of 75042

Prime factors of 75042 are 2, 3, 11, 379. Prime factorization of 75042 in exponential form is:

75042 = 2¹ × 3² × 11¹ × 379¹

Step-2: 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-3: Factors of 75042

List of positive integer factors of 75042 that divides 75042 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 379, 758, 1137, 2274, 3411, 4169, 6822, 8338, 12507, 25014, 37521

Step-4: Factors of 75057

List of positive integer factors of 75057 that divides 75042 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75042 and 75057. The biggest common factor number is the GCF number.
So the greatest common factor 75042 and 75057 is 3.

Also check out the Least Common Multiple of 75042 and 75057