What is the Greatest Common Factor of 75036 and 75042?

Greatest common factor (GCF) of 75036 and 75042 is 6.

GCF(75036,75042) = 6

We will now calculate the prime factors of 75036 and 75042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75036 and 75042.

How to find the GCF of 75036 and 75042?

We will first find the prime factorization of 75036 and 75042. After we will calculate the factors of 75036 and 75042 and find the biggest common factor number .

Step-1: Prime Factorization of 75036

Prime factors of 75036 are 2, 3, 13, 37. Prime factorization of 75036 in exponential form is:

75036 = 2² × 3¹ × 13² × 37¹

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 75036

List of positive integer factors of 75036 that divides 75036 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 169, 222, 338, 444, 481, 507, 676, 962, 1014, 1443, 1924, 2028, 2886, 5772, 6253, 12506, 18759, 25012, 37518

Step-4: Factors of 75042

List of positive integer factors of 75042 that divides 75036 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 75036 and 75042. The biggest common factor number is the GCF number.
So the greatest common factor 75036 and 75042 is 6.

Also check out the Least Common Multiple of 75036 and 75042