Greatest Common Factor of 3460 and 3465

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, 3465 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3460 and 3465 is 5.

GCF(3460,3465) = 5

GCF of 3460 and 3465

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

GCF of:
and

Greatest Common Factor of 3460 and 3465

GCF of 3460 and 3465 is 5

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 3465


3 3465
3 1155
5 385
7 77
11 11
1

Prime factors of 3465 are 3,5,7,11. Prime factorization of 3465 in exponential form is:

3465 = 32×51×71×111

∴ So by taking common prime factors GCF of 3460 and 3465 is 5

Greatest Common Factor of 3460 and 3465 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 3465

List of positive integer factors of 3465 that divides 3465 without a remainder.

1,3,5,7,9,11,15,21,33,35,45,55,63,77,99,105,165,231,315,385,495,693,1155,3465

Greatest Common Factor

We found the factors and prime factorization of 3460 and 3465. The biggest common factor number is the GCF number.
So the greatest common factor 3460 and 3465 is 5.

Also check out the Least Common Multiple of 3460 and 3465

Properties of GCF 3460 and 3465

(i) The GCF of 3460 and 3465 is associative

GCF of 3460 and 3465 = GCF of 3465 and 3460

Related Greatest Common Factor of 3460

Related Greatest Common Factor of 3465

Frequently Asked Questions on GCF of 3460 and 3465

1. What is the GCF of 3460 and 3465?

Answer: GCF of 3460 and 3465 is 5.

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 3465?

Answer: Factors of 3465 are 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155, 3465. There are 24 integers that are factors of 3465. The greatest factor of 3465 is 3465.

4. How to Find the GCF of 3460 and 3465?

Answer:

Greatest Common Factor of 3460 and 3465 = 5

Step 1: Find the prime factorization of 3460

3460 = 2 x 2 x 5 x 173

Step 2: Find the prime factorization of 3465

3465 = 3 x 3 x 5 x 7 x 11

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3460 and 3465 is 5