What is the Greatest Common Factor of 75042 and 75062?

Greatest common factor (GCF) of 75042 and 75062 is 2.

GCF(75042,75062) = 2

We will now calculate the prime factors of 75042 and 75062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75042 and 75062.

How to find the GCF of 75042 and 75062?

We will first find the prime factorization of 75042 and 75062. After we will calculate the factors of 75042 and 75062 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 75062

Prime factors of 75062 are 2, 13, 2887. Prime factorization of 75062 in exponential form is:

75062 = 2¹ × 13¹ × 2887¹

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 75062

List of positive integer factors of 75062 that divides 75042 without a remainder.

1, 2, 13, 26, 2887, 5774, 37531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75042 and 75062. The biggest common factor number is the GCF number.
So the greatest common factor 75042 and 75062 is 2.

Also check out the Least Common Multiple of 75042 and 75062