What is the Greatest Common Factor of 2548 and 2558?

Greatest common factor (GCF) of 2548 and 2558 is 2.

GCF(2548,2558) = 2

We will now calculate the prime factors of 2548 and 2558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2548 and 2558.

How to find the GCF of 2548 and 2558?

We will first find the prime factorization of 2548 and 2558. After we will calculate the factors of 2548 and 2558 and find the biggest common factor number .

Step-1: Prime Factorization of 2548

Prime factors of 2548 are 2, 7, 13. Prime factorization of 2548 in exponential form is:

2548 = 2² × 7² × 13¹

Step-2: Prime Factorization of 2558

Prime factors of 2558 are 2, 1279. Prime factorization of 2558 in exponential form is:

2558 = 2¹ × 1279¹

Step-3: Factors of 2548

List of positive integer factors of 2548 that divides 2548 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274

Step-4: Factors of 2558

List of positive integer factors of 2558 that divides 2548 without a remainder.

1, 2, 1279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2548 and 2558. The biggest common factor number is the GCF number.
So the greatest common factor 2548 and 2558 is 2.

Also check out the Least Common Multiple of 2548 and 2558