What is the Greatest Common Factor of 2457 and 2469?

Greatest common factor (GCF) of 2457 and 2469 is 3.

GCF(2457,2469) = 3

We will now calculate the prime factors of 2457 and 2469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2457 and 2469.

How to find the GCF of 2457 and 2469?

We will first find the prime factorization of 2457 and 2469. After we will calculate the factors of 2457 and 2469 and find the biggest common factor number .

Step-1: Prime Factorization of 2457

Prime factors of 2457 are 3, 7, 13. Prime factorization of 2457 in exponential form is:

2457 = 3³ × 7¹ × 13¹

Step-2: Prime Factorization of 2469

Prime factors of 2469 are 3, 823. Prime factorization of 2469 in exponential form is:

2469 = 3¹ × 823¹

Step-3: Factors of 2457

List of positive integer factors of 2457 that divides 2457 without a remainder.

1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819

Step-4: Factors of 2469

List of positive integer factors of 2469 that divides 2457 without a remainder.

1, 3, 823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2457 and 2469. The biggest common factor number is the GCF number.
So the greatest common factor 2457 and 2469 is 3.

Also check out the Least Common Multiple of 2457 and 2469