What is the Greatest Common Factor of 2575 and 2590?

Greatest common factor (GCF) of 2575 and 2590 is 5.

GCF(2575,2590) = 5

We will now calculate the prime factors of 2575 and 2590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2575 and 2590.

How to find the GCF of 2575 and 2590?

We will first find the prime factorization of 2575 and 2590. After we will calculate the factors of 2575 and 2590 and find the biggest common factor number .

Step-1: Prime Factorization of 2575

Prime factors of 2575 are 5, 103. Prime factorization of 2575 in exponential form is:

2575 = 5² × 103¹

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 2575

List of positive integer factors of 2575 that divides 2575 without a remainder.

1, 5, 25, 103, 515

Step-4: Factors of 2590

List of positive integer factors of 2590 that divides 2575 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 2575 and 2590. The biggest common factor number is the GCF number.
So the greatest common factor 2575 and 2590 is 5.

Also check out the Least Common Multiple of 2575 and 2590