What is the Greatest Common Factor of 76374 and 76392?

Greatest common factor (GCF) of 76374 and 76392 is 18.

GCF(76374,76392) = 18

We will now calculate the prime factors of 76374 and 76392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76374 and 76392.

How to find the GCF of 76374 and 76392?

We will first find the prime factorization of 76374 and 76392. After we will calculate the factors of 76374 and 76392 and find the biggest common factor number .

Step-1: Prime Factorization of 76374

Prime factors of 76374 are 2, 3, 4243. Prime factorization of 76374 in exponential form is:

76374 = 2¹ × 3² × 4243¹

Step-2: Prime Factorization of 76392

Prime factors of 76392 are 2, 3, 1061. Prime factorization of 76392 in exponential form is:

76392 = 2³ × 3² × 1061¹

Step-3: Factors of 76374

List of positive integer factors of 76374 that divides 76374 without a remainder.

1, 2, 3, 6, 9, 18, 4243, 8486, 12729, 25458, 38187

Step-4: Factors of 76392

List of positive integer factors of 76392 that divides 76374 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1061, 2122, 3183, 4244, 6366, 8488, 9549, 12732, 19098, 25464, 38196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76374 and 76392. The biggest common factor number is the GCF number.
So the greatest common factor 76374 and 76392 is 18.

Also check out the Least Common Multiple of 76374 and 76392