Greatest Common Factor of 463 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 463, 470 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 463 and 470 is 1.

GCF(463,470) = 1

GCF of 463 and 470

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

GCF of:
and

Greatest Common Factor of 463 and 470

GCF of 463 and 470 is 1

Prime Factorization of 463


463 463
1

Prime factors of 463 are 463. Prime factorization of 463 in exponential form is:

463 = 4631

Prime Factorization of 470


2 470
5 235
47 47
1

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

470 = 21×51×471

∴ So by taking common prime factors GCF of 463 and 470 is 1

Greatest Common Factor of 463 and 470 by matching factors method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

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 463 and 470. The biggest common factor number is the GCF number.
So the greatest common factor 463 and 470 is 1.

Also check out the Least Common Multiple of 463 and 470

Properties of GCF 463 and 470

(i) The GCF of 463 and 470 is associative

GCF of 463 and 470 = GCF of 470 and 463

Related Greatest Common Factor of 463

Related Greatest Common Factor of 470

Frequently Asked Questions on GCF of 463 and 470

1. What is the GCF of 463 and 470?

Answer: GCF of 463 and 470 is 1.

2. What are the Factors of 463?

Answer: Factors of 463 are 1, 463. There are 2 integers that are factors of 463. The greatest factor of 463 is 463.

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 463 and 470?

Answer:

Greatest Common Factor of 463 and 470 = 1

Step 1: Find the prime factorization of 463

463 = 463

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 = = 1

Step 4: Therefore, the greatest common factor of 463 and 470 is 1