What is the Greatest Common Factor of 2457 and 2464?

Greatest common factor (GCF) of 2457 and 2464 is 7.

GCF(2457,2464) = 7

We will now calculate the prime factors of 2457 and 2464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2457 and 2464.

How to find the GCF of 2457 and 2464?

We will first find the prime factorization of 2457 and 2464. After we will calculate the factors of 2457 and 2464 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 2464

Prime factors of 2464 are 2, 7, 11. Prime factorization of 2464 in exponential form is:

2464 = 2⁵ × 7¹ × 11¹

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 2464

List of positive integer factors of 2464 that divides 2457 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2457 and 2464. The biggest common factor number is the GCF number.
So the greatest common factor 2457 and 2464 is 7.

Also check out the Least Common Multiple of 2457 and 2464