Greatest Common Factor of 465 and 470

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 465, 470 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 465 and 470 is 5.

GCF(465,470) = 5

GCF of 465 and 470

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

GCF of:
and

Greatest Common Factor of 465 and 470

GCF of 465 and 470 is 5

Prime Factorization of 465


3 465
5 155
31 31
1

Prime factors of 465 are 3,5,31. Prime factorization of 465 in exponential form is:

465 = 31×51×311

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

∴ So by taking common prime factors GCF of 465 and 470 is 5

Greatest Common Factor of 465 and 470 by matching factors method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 470

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

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

Greatest Common Factor

We found the factors and prime factorization of 465 and 470. The biggest common factor number is the GCF number.
So the greatest common factor 465 and 470 is 5.

Also check out the Least Common Multiple of 465 and 470

Properties of GCF 465 and 470

(i) The GCF of 465 and 470 is associative

GCF of 465 and 470 = GCF of 470 and 465

Related Greatest Common Factor of 465

Related Greatest Common Factor of 470

Frequently Asked Questions on GCF of 465 and 470

1. What is the GCF of 465 and 470?

Answer: GCF of 465 and 470 is 5.

2. What are the Factors of 465?

Answer: Factors of 465 are 1, 3, 5, 15, 31, 93, 155, 465. There are 8 integers that are factors of 465. The greatest factor of 465 is 465.

3. 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.

4. How to Find the GCF of 465 and 470?

Answer:

Greatest Common Factor of 465 and 470 = 5

Step 1: Find the prime factorization of 465

465 = 3 x 5 x 31

Step 2: Find the prime factorization of 470

470 = 2 x 5 x 47

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 465 and 470 is 5