What is the Greatest Common Factor of 2523 and 2541?

Greatest common factor (GCF) of 2523 and 2541 is 3.

GCF(2523,2541) = 3

We will now calculate the prime factors of 2523 and 2541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2523 and 2541.

How to find the GCF of 2523 and 2541?

We will first find the prime factorization of 2523 and 2541. After we will calculate the factors of 2523 and 2541 and find the biggest common factor number .

Step-1: Prime Factorization of 2523

Prime factors of 2523 are 3, 29. Prime factorization of 2523 in exponential form is:

2523 = 3¹ × 29²

Step-2: Prime Factorization of 2541

Prime factors of 2541 are 3, 7, 11. Prime factorization of 2541 in exponential form is:

2541 = 3¹ × 7¹ × 11²

Step-3: Factors of 2523

List of positive integer factors of 2523 that divides 2523 without a remainder.

1, 3, 29, 87, 841

Step-4: Factors of 2541

List of positive integer factors of 2541 that divides 2523 without a remainder.

1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2523 and 2541. The biggest common factor number is the GCF number.
So the greatest common factor 2523 and 2541 is 3.

Also check out the Least Common Multiple of 2523 and 2541