What is the Greatest Common Factor of 74268 and 74280?

Greatest common factor (GCF) of 74268 and 74280 is 12.

GCF(74268,74280) = 12

We will now calculate the prime factors of 74268 and 74280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74268 and 74280.

How to find the GCF of 74268 and 74280?

We will first find the prime factorization of 74268 and 74280. After we will calculate the factors of 74268 and 74280 and find the biggest common factor number .

Step-1: Prime Factorization of 74268

Prime factors of 74268 are 2, 3, 2063. Prime factorization of 74268 in exponential form is:

74268 = 2² × 3² × 2063¹

Step-2: Prime Factorization of 74280

Prime factors of 74280 are 2, 3, 5, 619. Prime factorization of 74280 in exponential form is:

74280 = 2³ × 3¹ × 5¹ × 619¹

Step-3: Factors of 74268

List of positive integer factors of 74268 that divides 74268 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2063, 4126, 6189, 8252, 12378, 18567, 24756, 37134

Step-4: Factors of 74280

List of positive integer factors of 74280 that divides 74268 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 619, 1238, 1857, 2476, 3095, 3714, 4952, 6190, 7428, 9285, 12380, 14856, 18570, 24760, 37140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74268 and 74280. The biggest common factor number is the GCF number.
So the greatest common factor 74268 and 74280 is 12.

Also check out the Least Common Multiple of 74268 and 74280