Greatest Common Factor of 3465 and 3473

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, 3473 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3465 and 3473 is 1.

GCF(3465,3473) = 1

GCF of 3465 and 3473

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

GCF of:
and

Greatest Common Factor of 3465 and 3473

GCF of 3465 and 3473 is 1

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 3473


23 3473
151 151
1

Prime factors of 3473 are 23,151. Prime factorization of 3473 in exponential form is:

3473 = 231×1511

∴ So by taking common prime factors GCF of 3465 and 3473 is 1

Greatest Common Factor of 3465 and 3473 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 3473

List of positive integer factors of 3473 that divides 3473 without a remainder.

1,23,151,3473

Greatest Common Factor

We found the factors and prime factorization of 3465 and 3473. The biggest common factor number is the GCF number.
So the greatest common factor 3465 and 3473 is 1.

Also check out the Least Common Multiple of 3465 and 3473

Properties of GCF 3465 and 3473

(i) The GCF of 3465 and 3473 is associative

GCF of 3465 and 3473 = GCF of 3473 and 3465

Related Greatest Common Factor of 3465

Related Greatest Common Factor of 3473

Frequently Asked Questions on GCF of 3465 and 3473

1. What is the GCF of 3465 and 3473?

Answer: GCF of 3465 and 3473 is 1.

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 3473?

Answer: Factors of 3473 are 1, 23, 151, 3473. There are 4 integers that are factors of 3473. The greatest factor of 3473 is 3473.

4. How to Find the GCF of 3465 and 3473?

Answer:

Greatest Common Factor of 3465 and 3473 = 1

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 3473

3473 = 23 x 151

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 3465 and 3473 is 1