What is the Greatest Common Factor of 74883 and 74889?

Greatest common factor (GCF) of 74883 and 74889 is 3.

GCF(74883,74889) = 3

We will now calculate the prime factors of 74883 and 74889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74883 and 74889.

How to find the GCF of 74883 and 74889?

We will first find the prime factorization of 74883 and 74889. After we will calculate the factors of 74883 and 74889 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74889

Prime factors of 74889 are 3, 53, 157. Prime factorization of 74889 in exponential form is:

74889 = 3² × 53¹ × 157¹

Step-3: Factors of 74883

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

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

Step-4: Factors of 74889

List of positive integer factors of 74889 that divides 74883 without a remainder.

1, 3, 9, 53, 157, 159, 471, 477, 1413, 8321, 24963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74883 and 74889. The biggest common factor number is the GCF number.
So the greatest common factor 74883 and 74889 is 3.

Also check out the Least Common Multiple of 74883 and 74889