Greatest Common Factor of 5415 and 5418

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 5415, 5418 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5415 and 5418 is 3.

GCF(5415,5418) = 3

GCF of 5415 and 5418

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

GCF of:
and

Greatest Common Factor of 5415 and 5418

GCF of 5415 and 5418 is 3

Prime Factorization of 5415


3 5415
5 1805
19 361
19 19
1

Prime factors of 5415 are 3,5,19. Prime factorization of 5415 in exponential form is:

5415 = 31×51×192

Prime Factorization of 5418


2 5418
3 2709
3 903
7 301
43 43
1

Prime factors of 5418 are 2,3,7,43. Prime factorization of 5418 in exponential form is:

5418 = 21×32×71×431

∴ So by taking common prime factors GCF of 5415 and 5418 is 3

Greatest Common Factor of 5415 and 5418 by matching factors method

Factors of 5415

List of positive integer factors of 5415 that divides 5415 without a remainder.

1,3,5,15,19,57,95,285,361,1083,1805,5415

Factors of 5418

List of positive integer factors of 5418 that divides 5418 without a remainder.

1,2,3,6,7,9,14,18,21,42,43,63,86,126,129,258,301,387,602,774,903,1806,2709,5418

Greatest Common Factor

We found the factors and prime factorization of 5415 and 5418. The biggest common factor number is the GCF number.
So the greatest common factor 5415 and 5418 is 3.

Also check out the Least Common Multiple of 5415 and 5418

Properties of GCF 5415 and 5418

(i) The GCF of 5415 and 5418 is associative

GCF of 5415 and 5418 = GCF of 5418 and 5415

Related Greatest Common Factor of 5415

Related Greatest Common Factor of 5418

Frequently Asked Questions on GCF of 5415 and 5418

1. What is the GCF of 5415 and 5418?

Answer: GCF of 5415 and 5418 is 3.

2. What are the Factors of 5415?

Answer: Factors of 5415 are 1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415. There are 12 integers that are factors of 5415. The greatest factor of 5415 is 5415.

3. What are the Factors of 5418?

Answer: Factors of 5418 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258, 301, 387, 602, 774, 903, 1806, 2709, 5418. There are 24 integers that are factors of 5418. The greatest factor of 5418 is 5418.

4. How to Find the GCF of 5415 and 5418?

Answer:

Greatest Common Factor of 5415 and 5418 = 3

Step 1: Find the prime factorization of 5415

5415 = 3 x 5 x 19 x 19

Step 2: Find the prime factorization of 5418

5418 = 2 x 3 x 3 x 7 x 43

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5415 and 5418 is 3