Greatest Common Factor of 3460 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 3460, 3468 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3460 and 3468 is 4.

GCF(3460,3468) = 4

GCF of 3460 and 3468

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

GCF of:
and

Greatest Common Factor of 3460 and 3468

GCF of 3460 and 3468 is 4

Prime Factorization of 3460


2 3460
2 1730
5 865
173 173
1

Prime factors of 3460 are 2,5,173. Prime factorization of 3460 in exponential form is:

3460 = 22×51×1731

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 3460 and 3468 is 4

Greatest Common Factor of 3460 and 3468 by matching factors method

Factors of 3460

List of positive integer factors of 3460 that divides 3460 without a remainder.

1,2,4,5,10,20,173,346,692,865,1730,3460

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 3460 and 3468. The biggest common factor number is the GCF number.
So the greatest common factor 3460 and 3468 is 4.

Also check out the Least Common Multiple of 3460 and 3468

Properties of GCF 3460 and 3468

(i) The GCF of 3460 and 3468 is associative

GCF of 3460 and 3468 = GCF of 3468 and 3460

Related Greatest Common Factor of 3460

Related Greatest Common Factor of 3468

Frequently Asked Questions on GCF of 3460 and 3468

1. What is the GCF of 3460 and 3468?

Answer: GCF of 3460 and 3468 is 4.

2. What are the Factors of 3460?

Answer: Factors of 3460 are 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730, 3460. There are 12 integers that are factors of 3460. The greatest factor of 3460 is 3460.

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 3460 and 3468?

Answer:

Greatest Common Factor of 3460 and 3468 = 4

Step 1: Find the prime factorization of 3460

3460 = 2 x 2 x 5 x 173

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 2 = 4

Step 4: Therefore, the greatest common factor of 3460 and 3468 is 4