What is the Greatest Common Factor of 2578 and 2587?

Greatest common factor (GCF) of 2578 and 2587 is 1.

GCF(2578,2587) = 1

We will now calculate the prime factors of 2578 and 2587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2578 and 2587.

How to find the GCF of 2578 and 2587?

We will first find the prime factorization of 2578 and 2587. After we will calculate the factors of 2578 and 2587 and find the biggest common factor number .

Step-1: Prime Factorization of 2578

Prime factors of 2578 are 2, 1289. Prime factorization of 2578 in exponential form is:

2578 = 2¹ × 1289¹

Step-2: Prime Factorization of 2587

Prime factors of 2587 are 13, 199. Prime factorization of 2587 in exponential form is:

2587 = 13¹ × 199¹

Step-3: Factors of 2578

List of positive integer factors of 2578 that divides 2578 without a remainder.

1, 2, 1289

Step-4: Factors of 2587

List of positive integer factors of 2587 that divides 2578 without a remainder.

1, 13, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2578 and 2587. The biggest common factor number is the GCF number.
So the greatest common factor 2578 and 2587 is 1.

Also check out the Least Common Multiple of 2578 and 2587