What is the Greatest Common Factor of 2540 and 2549?

Greatest common factor (GCF) of 2540 and 2549 is 1.

GCF(2540,2549) = 1

We will now calculate the prime factors of 2540 and 2549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2540 and 2549.

How to find the GCF of 2540 and 2549?

We will first find the prime factorization of 2540 and 2549. After we will calculate the factors of 2540 and 2549 and find the biggest common factor number .

Step-1: Prime Factorization of 2540

Prime factors of 2540 are 2, 5, 127. Prime factorization of 2540 in exponential form is:

2540 = 2² × 5¹ × 127¹

Step-2: Prime Factorization of 2549

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

2549 = 2549¹

Step-3: Factors of 2540

List of positive integer factors of 2540 that divides 2540 without a remainder.

1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270

Step-4: Factors of 2549

List of positive integer factors of 2549 that divides 2540 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2540 and 2549. The biggest common factor number is the GCF number.
So the greatest common factor 2540 and 2549 is 1.

Also check out the Least Common Multiple of 2540 and 2549