What is the Greatest Common Factor of 2549 and 2563?

Greatest common factor (GCF) of 2549 and 2563 is 1.

GCF(2549,2563) = 1

We will now calculate the prime factors of 2549 and 2563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2549 and 2563.

How to find the GCF of 2549 and 2563?

We will first find the prime factorization of 2549 and 2563. After we will calculate the factors of 2549 and 2563 and find the biggest common factor number .

Step-1: Prime Factorization of 2549

Prime factors of 2549 are 2549. Prime factorization of 2549 in exponential form is:

2549 = 2549¹

Step-2: Prime Factorization of 2563

Prime factors of 2563 are 11, 233. Prime factorization of 2563 in exponential form is:

2563 = 11¹ × 233¹

Step-3: Factors of 2549

List of positive integer factors of 2549 that divides 2549 without a remainder.

Step-4: Factors of 2563

List of positive integer factors of 2563 that divides 2549 without a remainder.

1, 11, 233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2549 and 2563. The biggest common factor number is the GCF number.
So the greatest common factor 2549 and 2563 is 1.

Also check out the Least Common Multiple of 2549 and 2563