Greatest Common Factor of 464 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 464, 470 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 464 and 470 is 2.

GCF(464,470) = 2

GCF of 464 and 470

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

GCF of:
and

Greatest Common Factor of 464 and 470

GCF of 464 and 470 is 2

Prime Factorization of 464


2 464
2 232
2 116
2 58
29 29
1

Prime factors of 464 are 2,29. Prime factorization of 464 in exponential form is:

464 = 24×291

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 464 and 470 is 2

Greatest Common Factor of 464 and 470 by matching factors method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

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 464 and 470. The biggest common factor number is the GCF number.
So the greatest common factor 464 and 470 is 2.

Also check out the Least Common Multiple of 464 and 470

Properties of GCF 464 and 470

(i) The GCF of 464 and 470 is associative

GCF of 464 and 470 = GCF of 470 and 464

Related Greatest Common Factor of 464

Related Greatest Common Factor of 470

Frequently Asked Questions on GCF of 464 and 470

1. What is the GCF of 464 and 470?

Answer: GCF of 464 and 470 is 2.

2. What are the Factors of 464?

Answer: Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. There are 10 integers that are factors of 464. The greatest factor of 464 is 464.

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 464 and 470?

Answer:

Greatest Common Factor of 464 and 470 = 2

Step 1: Find the prime factorization of 464

464 = 2 x 2 x 2 x 2 x 29

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 464 and 470 is 2