Greatest Common Factor of 3468 and 3474

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 3468, 3474 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3468 and 3474 is 6.

GCF(3468,3474) = 6

GCF of 3468 and 3474

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

GCF of:
and

Greatest Common Factor of 3468 and 3474

GCF of 3468 and 3474 is 6

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

Prime Factorization of 3474


2 3474
3 1737
3 579
193 193
1

Prime factors of 3474 are 2,3,193. Prime factorization of 3474 in exponential form is:

3474 = 21×32×1931

∴ So by taking common prime factors GCF of 3468 and 3474 is 6

Greatest Common Factor of 3468 and 3474 by matching factors method

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

Factors of 3474

List of positive integer factors of 3474 that divides 3474 without a remainder.

1,2,3,6,9,18,193,386,579,1158,1737,3474

Greatest Common Factor

We found the factors and prime factorization of 3468 and 3474. The biggest common factor number is the GCF number.
So the greatest common factor 3468 and 3474 is 6.

Also check out the Least Common Multiple of 3468 and 3474

Properties of GCF 3468 and 3474

(i) The GCF of 3468 and 3474 is associative

GCF of 3468 and 3474 = GCF of 3474 and 3468

Related Greatest Common Factor of 3468

Related Greatest Common Factor of 3474

Frequently Asked Questions on GCF of 3468 and 3474

1. What is the GCF of 3468 and 3474?

Answer: GCF of 3468 and 3474 is 6.

2. 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.

3. What are the Factors of 3474?

Answer: Factors of 3474 are 1, 2, 3, 6, 9, 18, 193, 386, 579, 1158, 1737, 3474. There are 12 integers that are factors of 3474. The greatest factor of 3474 is 3474.

4. How to Find the GCF of 3468 and 3474?

Answer:

Greatest Common Factor of 3468 and 3474 = 6

Step 1: Find the prime factorization of 3468

3468 = 2 x 2 x 3 x 17 x 17

Step 2: Find the prime factorization of 3474

3474 = 2 x 3 x 3 x 193

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 3468 and 3474 is 6