Greatest Common Factor of 465 and 468

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 465, 468 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 465 and 468 is 3.

GCF(465,468) = 3

GCF of 465 and 468

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

GCF of:
and

Greatest Common Factor of 465 and 468

GCF of 465 and 468 is 3

Prime Factorization of 465


3 465
5 155
31 31
1

Prime factors of 465 are 3,5,31. Prime factorization of 465 in exponential form is:

465 = 31×51×311

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

∴ So by taking common prime factors GCF of 465 and 468 is 3

Greatest Common Factor of 465 and 468 by matching factors method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

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

Greatest Common Factor

We found the factors and prime factorization of 465 and 468. The biggest common factor number is the GCF number.
So the greatest common factor 465 and 468 is 3.

Also check out the Least Common Multiple of 465 and 468

Properties of GCF 465 and 468

(i) The GCF of 465 and 468 is associative

GCF of 465 and 468 = GCF of 468 and 465

Related Greatest Common Factor of 465

Related Greatest Common Factor of 468

Frequently Asked Questions on GCF of 465 and 468

1. What is the GCF of 465 and 468?

Answer: GCF of 465 and 468 is 3.

2. What are the Factors of 465?

Answer: Factors of 465 are 1, 3, 5, 15, 31, 93, 155, 465. There are 8 integers that are factors of 465. The greatest factor of 465 is 465.

3. 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.

4. How to Find the GCF of 465 and 468?

Answer:

Greatest Common Factor of 465 and 468 = 3

Step 1: Find the prime factorization of 465

465 = 3 x 5 x 31

Step 2: Find the prime factorization of 468

468 = 2 x 2 x 3 x 3 x 13

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 465 and 468 is 3