What is the Greatest Common Factor of 2464 and 2468?

Greatest common factor (GCF) of 2464 and 2468 is 4.

GCF(2464,2468) = 4

We will now calculate the prime factors of 2464 and 2468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2464 and 2468.

How to find the GCF of 2464 and 2468?

We will first find the prime factorization of 2464 and 2468. After we will calculate the factors of 2464 and 2468 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2468

Prime factors of 2468 are 2, 617. Prime factorization of 2468 in exponential form is:

2468 = 2² × 617¹

Step-3: Factors of 2464

List of positive integer factors of 2464 that divides 2464 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

Step-4: Factors of 2468

List of positive integer factors of 2468 that divides 2464 without a remainder.

1, 2, 4, 617, 1234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2464 and 2468. The biggest common factor number is the GCF number.
So the greatest common factor 2464 and 2468 is 4.

Also check out the Least Common Multiple of 2464 and 2468