Greatest Common Factor of 6465 and 6468

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 6465, 6468 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6465 and 6468 is 3.

GCF(6465,6468) = 3

GCF of 6465 and 6468

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

GCF of:
and

Greatest Common Factor of 6465 and 6468

GCF of 6465 and 6468 is 3

Prime Factorization of 6465


3 6465
5 2155
431 431
1

Prime factors of 6465 are 3,5,431. Prime factorization of 6465 in exponential form is:

6465 = 31×51×4311

Prime Factorization of 6468


2 6468
2 3234
3 1617
7 539
7 77
11 11
1

Prime factors of 6468 are 2,3,7,11. Prime factorization of 6468 in exponential form is:

6468 = 22×31×72×111

∴ So by taking common prime factors GCF of 6465 and 6468 is 3

Greatest Common Factor of 6465 and 6468 by matching factors method

Factors of 6465

List of positive integer factors of 6465 that divides 6465 without a remainder.

1,3,5,15,431,1293,2155,6465

Factors of 6468

List of positive integer factors of 6468 that divides 6468 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,49,66,77,84,98,132,147,154,196,231,294,308,462,539,588,924,1078,1617,2156,3234,6468

Greatest Common Factor

We found the factors and prime factorization of 6465 and 6468. The biggest common factor number is the GCF number.
So the greatest common factor 6465 and 6468 is 3.

Also check out the Least Common Multiple of 6465 and 6468

Properties of GCF 6465 and 6468

(i) The GCF of 6465 and 6468 is associative

GCF of 6465 and 6468 = GCF of 6468 and 6465

Related Greatest Common Factor of 6465

Related Greatest Common Factor of 6468

Frequently Asked Questions on GCF of 6465 and 6468

1. What is the GCF of 6465 and 6468?

Answer: GCF of 6465 and 6468 is 3.

2. What are the Factors of 6465?

Answer: Factors of 6465 are 1, 3, 5, 15, 431, 1293, 2155, 6465. There are 8 integers that are factors of 6465. The greatest factor of 6465 is 6465.

3. What are the Factors of 6468?

Answer: Factors of 6468 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 49, 66, 77, 84, 98, 132, 147, 154, 196, 231, 294, 308, 462, 539, 588, 924, 1078, 1617, 2156, 3234, 6468. There are 36 integers that are factors of 6468. The greatest factor of 6468 is 6468.

4. How to Find the GCF of 6465 and 6468?

Answer:

Greatest Common Factor of 6465 and 6468 = 3

Step 1: Find the prime factorization of 6465

6465 = 3 x 5 x 431

Step 2: Find the prime factorization of 6468

6468 = 2 x 2 x 3 x 7 x 7 x 11

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 6465 and 6468 is 3