What is the Greatest Common Factor of 74868 and 74883?

Greatest common factor (GCF) of 74868 and 74883 is 3.

GCF(74868,74883) = 3

We will now calculate the prime factors of 74868 and 74883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74868 and 74883.

How to find the GCF of 74868 and 74883?

We will first find the prime factorization of 74868 and 74883. After we will calculate the factors of 74868 and 74883 and find the biggest common factor number .

Step-1: Prime Factorization of 74868

Prime factors of 74868 are 2, 3, 17, 367. Prime factorization of 74868 in exponential form is:

74868 = 2² × 3¹ × 17¹ × 367¹

Step-2: Prime Factorization of 74883

Prime factors of 74883 are 3, 109, 229. Prime factorization of 74883 in exponential form is:

74883 = 3¹ × 109¹ × 229¹

Step-3: Factors of 74868

List of positive integer factors of 74868 that divides 74868 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 367, 734, 1101, 1468, 2202, 4404, 6239, 12478, 18717, 24956, 37434

Step-4: Factors of 74883

List of positive integer factors of 74883 that divides 74868 without a remainder.

1, 3, 109, 229, 327, 687, 24961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74868 and 74883. The biggest common factor number is the GCF number.
So the greatest common factor 74868 and 74883 is 3.

Also check out the Least Common Multiple of 74868 and 74883