Greatest Common Factor of 467 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 467, 470 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 467 and 470 is 1.

GCF(467,470) = 1

GCF of 467 and 470

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

GCF of:
and

Greatest Common Factor of 467 and 470

GCF of 467 and 470 is 1

Prime Factorization of 467


467 467
1

Prime factors of 467 are 467. Prime factorization of 467 in exponential form is:

467 = 4671

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 467 and 470 is 1

Greatest Common Factor of 467 and 470 by matching factors method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

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 467 and 470. The biggest common factor number is the GCF number.
So the greatest common factor 467 and 470 is 1.

Also check out the Least Common Multiple of 467 and 470

Properties of GCF 467 and 470

(i) The GCF of 467 and 470 is associative

GCF of 467 and 470 = GCF of 470 and 467

Related Greatest Common Factor of 467

Related Greatest Common Factor of 470

Frequently Asked Questions on GCF of 467 and 470

1. What is the GCF of 467 and 470?

Answer: GCF of 467 and 470 is 1.

2. What are the Factors of 467?

Answer: Factors of 467 are 1, 467. There are 2 integers that are factors of 467. The greatest factor of 467 is 467.

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 467 and 470?

Answer:

Greatest Common Factor of 467 and 470 = 1

Step 1: Find the prime factorization of 467

467 = 467

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 467 and 470 is 1