What is the Greatest Common Factor of 74268 and 74286?

Greatest common factor (GCF) of 74268 and 74286 is 18.

GCF(74268,74286) = 18

We will now calculate the prime factors of 74268 and 74286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74268 and 74286.

How to find the GCF of 74268 and 74286?

We will first find the prime factorization of 74268 and 74286. After we will calculate the factors of 74268 and 74286 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 74286

Prime factors of 74286 are 2, 3, 4127. Prime factorization of 74286 in exponential form is:

74286 = 2¹ × 3² × 4127¹

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 74286

List of positive integer factors of 74286 that divides 74268 without a remainder.

1, 2, 3, 6, 9, 18, 4127, 8254, 12381, 24762, 37143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74268 and 74286. The biggest common factor number is the GCF number.
So the greatest common factor 74268 and 74286 is 18.

Also check out the Least Common Multiple of 74268 and 74286