Greatest Common Factor of 3468 and 3472

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, 3472 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3468 and 3472 is 4.

GCF(3468,3472) = 4

GCF of 3468 and 3472

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

GCF of:
and

Greatest Common Factor of 3468 and 3472

GCF of 3468 and 3472 is 4

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 3472


2 3472
2 1736
2 868
2 434
7 217
31 31
1

Prime factors of 3472 are 2,7,31. Prime factorization of 3472 in exponential form is:

3472 = 24×71×311

∴ So by taking common prime factors GCF of 3468 and 3472 is 4

Greatest Common Factor of 3468 and 3472 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 3472

List of positive integer factors of 3472 that divides 3472 without a remainder.

1,2,4,7,8,14,16,28,31,56,62,112,124,217,248,434,496,868,1736,3472

Greatest Common Factor

We found the factors and prime factorization of 3468 and 3472. The biggest common factor number is the GCF number.
So the greatest common factor 3468 and 3472 is 4.

Also check out the Least Common Multiple of 3468 and 3472

Properties of GCF 3468 and 3472

(i) The GCF of 3468 and 3472 is associative

GCF of 3468 and 3472 = GCF of 3472 and 3468

Related Greatest Common Factor of 3468

Related Greatest Common Factor of 3472

Frequently Asked Questions on GCF of 3468 and 3472

1. What is the GCF of 3468 and 3472?

Answer: GCF of 3468 and 3472 is 4.

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 3472?

Answer: Factors of 3472 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472. There are 20 integers that are factors of 3472. The greatest factor of 3472 is 3472.

4. How to Find the GCF of 3468 and 3472?

Answer:

Greatest Common Factor of 3468 and 3472 = 4

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 3472

3472 = 2 x 2 x 2 x 2 x 7 x 31

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3468 and 3472 is 4