What is the Greatest Common Factor of 4470 and 4474?

Greatest common factor (GCF) of 4470 and 4474 is 2.

GCF(4470,4474) = 2

We will now calculate the prime factors of 4470 and 4474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4470 and 4474.

How to find the GCF of 4470 and 4474?

We will first find the prime factorization of 4470 and 4474. After we will calculate the factors of 4470 and 4474 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4474

Prime factors of 4474 are 2, 2237. Prime factorization of 4474 in exponential form is:

4474 = 2¹ × 2237¹

Step-3: Factors of 4470

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

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

Step-4: Factors of 4474

List of positive integer factors of 4474 that divides 4470 without a remainder.

1, 2, 2237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4470 and 4474. The biggest common factor number is the GCF number.
So the greatest common factor 4470 and 4474 is 2.

Also check out the Least Common Multiple of 4470 and 4474