What is the Greatest Common Factor of 2534 and 2548?

Greatest common factor (GCF) of 2534 and 2548 is 14.

GCF(2534,2548) = 14

We will now calculate the prime factors of 2534 and 2548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2534 and 2548.

How to find the GCF of 2534 and 2548?

We will first find the prime factorization of 2534 and 2548. After we will calculate the factors of 2534 and 2548 and find the biggest common factor number .

Step-1: Prime Factorization of 2534

Prime factors of 2534 are 2, 7, 181. Prime factorization of 2534 in exponential form is:

2534 = 2¹ × 7¹ × 181¹

Step-2: 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-3: Factors of 2534

List of positive integer factors of 2534 that divides 2534 without a remainder.

1, 2, 7, 14, 181, 362, 1267

Step-4: Factors of 2548

List of positive integer factors of 2548 that divides 2534 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2534 and 2548. The biggest common factor number is the GCF number.
So the greatest common factor 2534 and 2548 is 14.

Also check out the Least Common Multiple of 2534 and 2548