What is the Greatest Common Factor of 74583 and 74589?

Greatest common factor (GCF) of 74583 and 74589 is 3.

GCF(74583,74589) = 3

We will now calculate the prime factors of 74583 and 74589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74583 and 74589.

How to find the GCF of 74583 and 74589?

We will first find the prime factorization of 74583 and 74589. After we will calculate the factors of 74583 and 74589 and find the biggest common factor number .

Step-1: Prime Factorization of 74583

Prime factors of 74583 are 3, 8287. Prime factorization of 74583 in exponential form is:

74583 = 3² × 8287¹

Step-2: Prime Factorization of 74589

Prime factors of 74589 are 3, 23, 47. Prime factorization of 74589 in exponential form is:

74589 = 3¹ × 23² × 47¹

Step-3: Factors of 74583

List of positive integer factors of 74583 that divides 74583 without a remainder.

1, 3, 9, 8287, 24861

Step-4: Factors of 74589

List of positive integer factors of 74589 that divides 74583 without a remainder.

1, 3, 23, 47, 69, 141, 529, 1081, 1587, 3243, 24863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74583 and 74589. The biggest common factor number is the GCF number.
So the greatest common factor 74583 and 74589 is 3.

Also check out the Least Common Multiple of 74583 and 74589