What is the Greatest Common Factor of 2582 and 2590?

Greatest common factor (GCF) of 2582 and 2590 is 2.

GCF(2582,2590) = 2

We will now calculate the prime factors of 2582 and 2590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2582 and 2590.

How to find the GCF of 2582 and 2590?

We will first find the prime factorization of 2582 and 2590. After we will calculate the factors of 2582 and 2590 and find the biggest common factor number .

Step-1: Prime Factorization of 2582

Prime factors of 2582 are 2, 1291. Prime factorization of 2582 in exponential form is:

2582 = 2¹ × 1291¹

Step-2: Prime Factorization of 2590

Prime factors of 2590 are 2, 5, 7, 37. Prime factorization of 2590 in exponential form is:

2590 = 2¹ × 5¹ × 7¹ × 37¹

Step-3: Factors of 2582

List of positive integer factors of 2582 that divides 2582 without a remainder.

1, 2, 1291

Step-4: Factors of 2590

List of positive integer factors of 2590 that divides 2582 without a remainder.

1, 2, 5, 7, 10, 14, 35, 37, 70, 74, 185, 259, 370, 518, 1295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2582 and 2590. The biggest common factor number is the GCF number.
So the greatest common factor 2582 and 2590 is 2.

Also check out the Least Common Multiple of 2582 and 2590