Greatest Common Factor of 3462 and 3468

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 3462, 3468 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3462 and 3468 is 6.

GCF(3462,3468) = 6

GCF of 3462 and 3468

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

GCF of:
and

Greatest Common Factor of 3462 and 3468

GCF of 3462 and 3468 is 6

Prime Factorization of 3462


2 3462
3 1731
577 577
1

Prime factors of 3462 are 2,3,577. Prime factorization of 3462 in exponential form is:

3462 = 21×31×5771

Prime Factorization of 3468


2 3468
2 1734
3 867
17 289
17 17
1

Prime factors of 3468 are 2,3,17. Prime factorization of 3468 in exponential form is:

3468 = 22×31×172

∴ So by taking common prime factors GCF of 3462 and 3468 is 6

Greatest Common Factor of 3462 and 3468 by matching factors method

Factors of 3462

List of positive integer factors of 3462 that divides 3462 without a remainder.

1,2,3,6,577,1154,1731,3462

Factors of 3468

List of positive integer factors of 3468 that divides 3468 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204,289,578,867,1156,1734,3468

Greatest Common Factor

We found the factors and prime factorization of 3462 and 3468. The biggest common factor number is the GCF number.
So the greatest common factor 3462 and 3468 is 6.

Also check out the Least Common Multiple of 3462 and 3468

Properties of GCF 3462 and 3468

(i) The GCF of 3462 and 3468 is associative

GCF of 3462 and 3468 = GCF of 3468 and 3462

Related Greatest Common Factor of 3462

Related Greatest Common Factor of 3468

Frequently Asked Questions on GCF of 3462 and 3468

1. What is the GCF of 3462 and 3468?

Answer: GCF of 3462 and 3468 is 6.

2. What are the Factors of 3462?

Answer: Factors of 3462 are 1, 2, 3, 6, 577, 1154, 1731, 3462. There are 8 integers that are factors of 3462. The greatest factor of 3462 is 3462.

3. What are the Factors of 3468?

Answer: Factors of 3468 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734, 3468. There are 18 integers that are factors of 3468. The greatest factor of 3468 is 3468.

4. How to Find the GCF of 3462 and 3468?

Answer:

Greatest Common Factor of 3462 and 3468 = 6

Step 1: Find the prime factorization of 3462

3462 = 2 x 3 x 577

Step 2: Find the prime factorization of 3468

3468 = 2 x 2 x 3 x 17 x 17

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3462 and 3468 is 6