What is the Greatest Common Factor of 4464 and 4470?

Greatest common factor (GCF) of 4464 and 4470 is 6.

GCF(4464,4470) = 6

We will now calculate the prime factors of 4464 and 4470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4464 and 4470.

How to find the GCF of 4464 and 4470?

We will first find the prime factorization of 4464 and 4470. After we will calculate the factors of 4464 and 4470 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 4470

Prime factors of 4470 are 2, 3, 5, 149. Prime factorization of 4470 in exponential form is:

4470 = 2¹ × 3¹ × 5¹ × 149¹

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 4470

List of positive integer factors of 4470 that divides 4464 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4464 and 4470. The biggest common factor number is the GCF number.
So the greatest common factor 4464 and 4470 is 6.

Also check out the Least Common Multiple of 4464 and 4470