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 5408, 5415 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5408 and 5415 is 1.
GCF(5408,5415) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5408
2 | 5408 |
2 | 2704 |
2 | 1352 |
2 | 676 |
2 | 338 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 5408 are 2,13. Prime factorization of 5408 in exponential form is:
5408 = 25×132
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
∴ So by taking common prime factors GCF of 5408 and 5415 is 1
Factors of 5408
List of positive integer factors of 5408 that divides 5408 without a remainder.
1,2,4,8,13,16,26,32,52,104,169,208,338,416,676,1352,2704,5408
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
Greatest Common Factor
We found the factors and prime factorization of 5408 and 5415. The biggest common factor number is the GCF number.
So the greatest common factor 5408 and 5415 is 1.
Also check out the Least Common Multiple of 5408 and 5415
(i) The GCF of 5408 and 5415 is associative
GCF of 5408 and 5415 = GCF of 5415 and 5408
1. What is the GCF of 5408 and 5415?
Answer: GCF of 5408 and 5415 is 1.
2. What are the Factors of 5408?
Answer: Factors of 5408 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352, 2704, 5408. There are 18 integers that are factors of 5408. The greatest factor of 5408 is 5408.
3. 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.
4. How to Find the GCF of 5408 and 5415?
Answer:
Greatest Common Factor of 5408 and 5415 = 1
Step 1: Find the prime factorization of 5408
5408 = 2 x 2 x 2 x 2 x 2 x 13 x 13
Step 2: Find the prime factorization of 5415
5415 = 3 x 5 x 19 x 19
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 5408 and 5415 is 1