Greatest Common Factor of 3468 and 3475

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, 3475 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3468 and 3475 is 1.

GCF(3468,3475) = 1

GCF of 3468 and 3475

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

GCF of:
and

Greatest Common Factor of 3468 and 3475

GCF of 3468 and 3475 is 1

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 3475


5 3475
5 695
139 139
1

Prime factors of 3475 are 5,139. Prime factorization of 3475 in exponential form is:

3475 = 52×1391

∴ So by taking common prime factors GCF of 3468 and 3475 is 1

Greatest Common Factor of 3468 and 3475 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 3475

List of positive integer factors of 3475 that divides 3475 without a remainder.

1,5,25,139,695,3475

Greatest Common Factor

We found the factors and prime factorization of 3468 and 3475. The biggest common factor number is the GCF number.
So the greatest common factor 3468 and 3475 is 1.

Also check out the Least Common Multiple of 3468 and 3475

Properties of GCF 3468 and 3475

(i) The GCF of 3468 and 3475 is associative

GCF of 3468 and 3475 = GCF of 3475 and 3468

Related Greatest Common Factor of 3468

Related Greatest Common Factor of 3475

Frequently Asked Questions on GCF of 3468 and 3475

1. What is the GCF of 3468 and 3475?

Answer: GCF of 3468 and 3475 is 1.

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 3475?

Answer: Factors of 3475 are 1, 5, 25, 139, 695, 3475. There are 6 integers that are factors of 3475. The greatest factor of 3475 is 3475.

4. How to Find the GCF of 3468 and 3475?

Answer:

Greatest Common Factor of 3468 and 3475 = 1

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 3475

3475 = 5 x 5 x 139

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3468 and 3475 is 1