Greatest Common Factor of 462 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 462, 470 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 462 and 470 is 2.

GCF(462,470) = 2

GCF of 462 and 470

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

GCF of:
and

Greatest Common Factor of 462 and 470

GCF of 462 and 470 is 2

Prime Factorization of 462


2 462
3 231
7 77
11 11
1

Prime factors of 462 are 2,3,7,11. Prime factorization of 462 in exponential form is:

462 = 21×31×71×111

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 462 and 470 is 2

Greatest Common Factor of 462 and 470 by matching factors method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

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 462 and 470. The biggest common factor number is the GCF number.
So the greatest common factor 462 and 470 is 2.

Also check out the Least Common Multiple of 462 and 470

Properties of GCF 462 and 470

(i) The GCF of 462 and 470 is associative

GCF of 462 and 470 = GCF of 470 and 462

Related Greatest Common Factor of 462

Related Greatest Common Factor of 470

Frequently Asked Questions on GCF of 462 and 470

1. What is the GCF of 462 and 470?

Answer: GCF of 462 and 470 is 2.

2. What are the Factors of 462?

Answer: Factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462. There are 16 integers that are factors of 462. The greatest factor of 462 is 462.

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 462 and 470?

Answer:

Greatest Common Factor of 462 and 470 = 2

Step 1: Find the prime factorization of 462

462 = 2 x 3 x 7 x 11

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 = 2

Step 4: Therefore, the greatest common factor of 462 and 470 is 2