What is the Greatest Common Factor of 2581 and 2590?

Greatest common factor (GCF) of 2581 and 2590 is 1.

GCF(2581,2590) = 1

We will now calculate the prime factors of 2581 and 2590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2581 and 2590.

How to find the GCF of 2581 and 2590?

We will first find the prime factorization of 2581 and 2590. After we will calculate the factors of 2581 and 2590 and find the biggest common factor number .

Step-1: Prime Factorization of 2581

Prime factors of 2581 are 29, 89. Prime factorization of 2581 in exponential form is:

2581 = 29¹ × 89¹

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 2581

List of positive integer factors of 2581 that divides 2581 without a remainder.

1, 29, 89

Step-4: Factors of 2590

List of positive integer factors of 2590 that divides 2581 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 2581 and 2590. The biggest common factor number is the GCF number.
So the greatest common factor 2581 and 2590 is 1.

Also check out the Least Common Multiple of 2581 and 2590