Greatest Common Factor of 468 and 471

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 468, 471 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 468 and 471 is 3.

GCF(468,471) = 3

GCF of 468 and 471

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

GCF of:
and

Greatest Common Factor of 468 and 471

GCF of 468 and 471 is 3

Prime Factorization of 468


2 468
2 234
3 117
3 39
13 13
1

Prime factors of 468 are 2,3,13. Prime factorization of 468 in exponential form is:

468 = 22×32×131

Prime Factorization of 471


3 471
157 157
1

Prime factors of 471 are 3,157. Prime factorization of 471 in exponential form is:

471 = 31×1571

∴ So by taking common prime factors GCF of 468 and 471 is 3

Greatest Common Factor of 468 and 471 by matching factors method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors and prime factorization of 468 and 471. The biggest common factor number is the GCF number.
So the greatest common factor 468 and 471 is 3.

Also check out the Least Common Multiple of 468 and 471

Properties of GCF 468 and 471

(i) The GCF of 468 and 471 is associative

GCF of 468 and 471 = GCF of 471 and 468

Related Greatest Common Factor of 468

Related Greatest Common Factor of 471

Frequently Asked Questions on GCF of 468 and 471

1. What is the GCF of 468 and 471?

Answer: GCF of 468 and 471 is 3.

2. What are the Factors of 468?

Answer: Factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468. There are 18 integers that are factors of 468. The greatest factor of 468 is 468.

3. What are the Factors of 471?

Answer: Factors of 471 are 1, 3, 157, 471. There are 4 integers that are factors of 471. The greatest factor of 471 is 471.

4. How to Find the GCF of 468 and 471?

Answer:

Greatest Common Factor of 468 and 471 = 3

Step 1: Find the prime factorization of 468

468 = 2 x 2 x 3 x 3 x 13

Step 2: Find the prime factorization of 471

471 = 3 x 157

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 468 and 471 is 3