Greatest Common Factor of 3465 and 3470

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 3465, 3470 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3465 and 3470 is 5.

GCF(3465,3470) = 5

GCF of 3465 and 3470

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

GCF of:
and

Greatest Common Factor of 3465 and 3470

GCF of 3465 and 3470 is 5

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

Prime Factorization of 3470


2 3470
5 1735
347 347
1

Prime factors of 3470 are 2,5,347. Prime factorization of 3470 in exponential form is:

3470 = 21×51×3471

∴ So by taking common prime factors GCF of 3465 and 3470 is 5

Greatest Common Factor of 3465 and 3470 by matching factors method

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

Factors of 3470

List of positive integer factors of 3470 that divides 3470 without a remainder.

1,2,5,10,347,694,1735,3470

Greatest Common Factor

We found the factors and prime factorization of 3465 and 3470. The biggest common factor number is the GCF number.
So the greatest common factor 3465 and 3470 is 5.

Also check out the Least Common Multiple of 3465 and 3470

Properties of GCF 3465 and 3470

(i) The GCF of 3465 and 3470 is associative

GCF of 3465 and 3470 = GCF of 3470 and 3465

Related Greatest Common Factor of 3465

Related Greatest Common Factor of 3470

Frequently Asked Questions on GCF of 3465 and 3470

1. What is the GCF of 3465 and 3470?

Answer: GCF of 3465 and 3470 is 5.

2. 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.

3. What are the Factors of 3470?

Answer: Factors of 3470 are 1, 2, 5, 10, 347, 694, 1735, 3470. There are 8 integers that are factors of 3470. The greatest factor of 3470 is 3470.

4. How to Find the GCF of 3465 and 3470?

Answer:

Greatest Common Factor of 3465 and 3470 = 5

Step 1: Find the prime factorization of 3465

3465 = 3 x 3 x 5 x 7 x 11

Step 2: Find the prime factorization of 3470

3470 = 2 x 5 x 347

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 3465 and 3470 is 5