What is the Greatest Common Factor of 4470 and 4489?

Greatest common factor (GCF) of 4470 and 4489 is 1.

GCF(4470,4489) = 1

We will now calculate the prime factors of 4470 and 4489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4470 and 4489.

How to find the GCF of 4470 and 4489?

We will first find the prime factorization of 4470 and 4489. After we will calculate the factors of 4470 and 4489 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 4489

Prime factors of 4489 are 67. Prime factorization of 4489 in exponential form is:

4489 = 67²

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 4489

List of positive integer factors of 4489 that divides 4470 without a remainder.

1, 67

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4470 and 4489. The biggest common factor number is the GCF number.
So the greatest common factor 4470 and 4489 is 1.

Also check out the Least Common Multiple of 4470 and 4489