What is the Greatest Common Factor of 4464 and 4478?

Greatest common factor (GCF) of 4464 and 4478 is 2.

GCF(4464,4478) = 2

We will now calculate the prime factors of 4464 and 4478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4464 and 4478.

How to find the GCF of 4464 and 4478?

We will first find the prime factorization of 4464 and 4478. After we will calculate the factors of 4464 and 4478 and find the biggest common factor number .

Step-1: Prime Factorization of 4464

Prime factors of 4464 are 2, 3, 31. Prime factorization of 4464 in exponential form is:

4464 = 2⁴ × 3² × 31¹

Step-2: Prime Factorization of 4478

Prime factors of 4478 are 2, 2239. Prime factorization of 4478 in exponential form is:

4478 = 2¹ × 2239¹

Step-3: Factors of 4464

List of positive integer factors of 4464 that divides 4464 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232

Step-4: Factors of 4478

List of positive integer factors of 4478 that divides 4464 without a remainder.

1, 2, 2239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4464 and 4478. The biggest common factor number is the GCF number.
So the greatest common factor 4464 and 4478 is 2.

Also check out the Least Common Multiple of 4464 and 4478