What is the Greatest Common Factor of 75022 and 75042?

Greatest common factor (GCF) of 75022 and 75042 is 2.

GCF(75022,75042) = 2

We will now calculate the prime factors of 75022 and 75042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75022 and 75042.

How to find the GCF of 75022 and 75042?

We will first find the prime factorization of 75022 and 75042. After we will calculate the factors of 75022 and 75042 and find the biggest common factor number .

Step-1: Prime Factorization of 75022

Prime factors of 75022 are 2, 37511. Prime factorization of 75022 in exponential form is:

75022 = 2¹ × 37511¹

Step-2: 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-3: Factors of 75022

List of positive integer factors of 75022 that divides 75022 without a remainder.

1, 2, 37511

Step-4: Factors of 75042

List of positive integer factors of 75042 that divides 75022 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75022 and 75042. The biggest common factor number is the GCF number.
So the greatest common factor 75022 and 75042 is 2.

Also check out the Least Common Multiple of 75022 and 75042