Greatest Common Factor of 4470 and 4474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4470, 4474 i.e. 2 largest integer by which both the numbers can be divided.

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

GCF(4470,4474) = 2

GCF of 4470 and 4474

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4470 and 4474

GCF of 4470 and 4474 is 2

Prime Factorization of 4470


2 4470
3 2235
5 745
149 149
1

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

4470 = 21×31×51×1491

Prime Factorization of 4474


2 4474
2237 2237
1

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

4474 = 21×22371

∴ So by taking common prime factors GCF of 4470 and 4474 is 2

Greatest Common Factor of 4470 and 4474 by matching factors method

Factors of 4470

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

1,2,3,5,6,10,15,30,149,298,447,745,894,1490,2235,4470

Factors of 4474

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

1,2,2237,4474

Greatest Common Factor

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

Properties of GCF 4470 and 4474

(i) The GCF of 4470 and 4474 is associative

GCF of 4470 and 4474 = GCF of 4474 and 4470

Related Greatest Common Factor of 4470

Related Greatest Common Factor of 4474

Frequently Asked Questions on GCF of 4470 and 4474

1. What is the GCF of 4470 and 4474?

Answer: GCF of 4470 and 4474 is 2.

2. What are the Factors of 4470?

Answer: Factors of 4470 are 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235, 4470. There are 16 integers that are factors of 4470. The greatest factor of 4470 is 4470.

3. What are the Factors of 4474?

Answer: Factors of 4474 are 1, 2, 2237, 4474. There are 4 integers that are factors of 4474. The greatest factor of 4474 is 4474.

4. How to Find the GCF of 4470 and 4474?

Answer:

Greatest Common Factor of 4470 and 4474 = 2

Step 1: Find the prime factorization of 4470

4470 = 2 x 3 x 5 x 149

Step 2: Find the prime factorization of 4474

4474 = 2 x 2237

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 4470 and 4474 is 2