What is the Greatest Common Factor of 2583 and 2598?

Greatest common factor (GCF) of 2583 and 2598 is 3.

GCF(2583,2598) = 3

We will now calculate the prime factors of 2583 and 2598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2583 and 2598.

How to find the GCF of 2583 and 2598?

We will first find the prime factorization of 2583 and 2598. After we will calculate the factors of 2583 and 2598 and find the biggest common factor number .

Step-1: Prime Factorization of 2583

Prime factors of 2583 are 3, 7, 41. Prime factorization of 2583 in exponential form is:

2583 = 3² × 7¹ × 41¹

Step-2: Prime Factorization of 2598

Prime factors of 2598 are 2, 3, 433. Prime factorization of 2598 in exponential form is:

2598 = 2¹ × 3¹ × 433¹

Step-3: Factors of 2583

List of positive integer factors of 2583 that divides 2583 without a remainder.

1, 3, 7, 9, 21, 41, 63, 123, 287, 369, 861

Step-4: Factors of 2598

List of positive integer factors of 2598 that divides 2583 without a remainder.

1, 2, 3, 6, 433, 866, 1299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2583 and 2598. The biggest common factor number is the GCF number.
So the greatest common factor 2583 and 2598 is 3.

Also check out the Least Common Multiple of 2583 and 2598