What is the Greatest Common Factor of 2548 and 2562?

Greatest common factor (GCF) of 2548 and 2562 is 14.

GCF(2548,2562) = 14

We will now calculate the prime factors of 2548 and 2562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2548 and 2562.

How to find the GCF of 2548 and 2562?

We will first find the prime factorization of 2548 and 2562. After we will calculate the factors of 2548 and 2562 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 2562

Prime factors of 2562 are 2, 3, 7, 61. Prime factorization of 2562 in exponential form is:

2562 = 2¹ × 3¹ × 7¹ × 61¹

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 2562

List of positive integer factors of 2562 that divides 2548 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2548 and 2562. The biggest common factor number is the GCF number.
So the greatest common factor 2548 and 2562 is 14.

Also check out the Least Common Multiple of 2548 and 2562