What is the Greatest Common Factor of 2464 and 2478?

Greatest common factor (GCF) of 2464 and 2478 is 14.

GCF(2464,2478) = 14

We will now calculate the prime factors of 2464 and 2478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2464 and 2478.

How to find the GCF of 2464 and 2478?

We will first find the prime factorization of 2464 and 2478. After we will calculate the factors of 2464 and 2478 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 2478

Prime factors of 2478 are 2, 3, 7, 59. Prime factorization of 2478 in exponential form is:

2478 = 2¹ × 3¹ × 7¹ × 59¹

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 2478

List of positive integer factors of 2478 that divides 2464 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2464 and 2478. The biggest common factor number is the GCF number.
So the greatest common factor 2464 and 2478 is 14.

Also check out the Least Common Multiple of 2464 and 2478