What is the Greatest Common Factor of 75042 and 75053?

Greatest common factor (GCF) of 75042 and 75053 is 11.

GCF(75042,75053) = 11

We will now calculate the prime factors of 75042 and 75053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75042 and 75053.

How to find the GCF of 75042 and 75053?

We will first find the prime factorization of 75042 and 75053. After we will calculate the factors of 75042 and 75053 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 75053

Prime factors of 75053 are 11, 6823. Prime factorization of 75053 in exponential form is:

75053 = 11¹ × 6823¹

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 75053

List of positive integer factors of 75053 that divides 75042 without a remainder.

1, 11, 6823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75042 and 75053. The biggest common factor number is the GCF number.
So the greatest common factor 75042 and 75053 is 11.

Also check out the Least Common Multiple of 75042 and 75053