Greatest Common Factor of 470 and 475

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 470, 475 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 470 and 475 is 5.

GCF(470,475) = 5

GCF of 470 and 475

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

GCF of:
and

Greatest Common Factor of 470 and 475

GCF of 470 and 475 is 5

Prime Factorization of 470


2 470
5 235
47 47
1

Prime factors of 470 are 2,5,47. Prime factorization of 470 in exponential form is:

470 = 21×51×471

Prime Factorization of 475


5 475
5 95
19 19
1

Prime factors of 475 are 5,19. Prime factorization of 475 in exponential form is:

475 = 52×191

∴ So by taking common prime factors GCF of 470 and 475 is 5

Greatest Common Factor of 470 and 475 by matching factors method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors and prime factorization of 470 and 475. The biggest common factor number is the GCF number.
So the greatest common factor 470 and 475 is 5.

Also check out the Least Common Multiple of 470 and 475

Properties of GCF 470 and 475

(i) The GCF of 470 and 475 is associative

GCF of 470 and 475 = GCF of 475 and 470

Related Greatest Common Factor of 470

Related Greatest Common Factor of 475

Frequently Asked Questions on GCF of 470 and 475

1. What is the GCF of 470 and 475?

Answer: GCF of 470 and 475 is 5.

2. What are the Factors of 470?

Answer: Factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470. There are 8 integers that are factors of 470. The greatest factor of 470 is 470.

3. What are the Factors of 475?

Answer: Factors of 475 are 1, 5, 19, 25, 95, 475. There are 6 integers that are factors of 475. The greatest factor of 475 is 475.

4. How to Find the GCF of 470 and 475?

Answer:

Greatest Common Factor of 470 and 475 = 5

Step 1: Find the prime factorization of 470

470 = 2 x 5 x 47

Step 2: Find the prime factorization of 475

475 = 5 x 5 x 19

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 470 and 475 is 5