Greatest Common Factor of 4470 and 4475

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, 4475 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4470 and 4475 is 5.

GCF(4470,4475) = 5

GCF of 4470 and 4475

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

GCF of:
and

Greatest Common Factor of 4470 and 4475

GCF of 4470 and 4475 is 5

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 4475


5 4475
5 895
179 179
1

Prime factors of 4475 are 5,179. Prime factorization of 4475 in exponential form is:

4475 = 52×1791

∴ So by taking common prime factors GCF of 4470 and 4475 is 5

Greatest Common Factor of 4470 and 4475 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 4475

List of positive integer factors of 4475 that divides 4475 without a remainder.

1,5,25,179,895,4475

Greatest Common Factor

We found the factors and prime factorization of 4470 and 4475. The biggest common factor number is the GCF number.
So the greatest common factor 4470 and 4475 is 5.

Also check out the Least Common Multiple of 4470 and 4475

Properties of GCF 4470 and 4475

(i) The GCF of 4470 and 4475 is associative

GCF of 4470 and 4475 = GCF of 4475 and 4470

Related Greatest Common Factor of 4470

Related Greatest Common Factor of 4475

Frequently Asked Questions on GCF of 4470 and 4475

1. What is the GCF of 4470 and 4475?

Answer: GCF of 4470 and 4475 is 5.

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 4475?

Answer: Factors of 4475 are 1, 5, 25, 179, 895, 4475. There are 6 integers that are factors of 4475. The greatest factor of 4475 is 4475.

4. How to Find the GCF of 4470 and 4475?

Answer:

Greatest Common Factor of 4470 and 4475 = 5

Step 1: Find the prime factorization of 4470

4470 = 2 x 3 x 5 x 149

Step 2: Find the prime factorization of 4475

4475 = 5 x 5 x 179

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

GCF = 5

Step 4: Therefore, the greatest common factor of 4470 and 4475 is 5