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, 5416 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5408 and 5416 is 8.
GCF(5408,5416) = 8
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 5416
2 | 5416 |
2 | 2708 |
2 | 1354 |
677 | 677 |
1 |
Prime factors of 5416 are 2,677. Prime factorization of 5416 in exponential form is:
5416 = 23×6771
∴ So by taking common prime factors GCF of 5408 and 5416 is 8
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 5416
List of positive integer factors of 5416 that divides 5416 without a remainder.
1,2,4,8,677,1354,2708,5416
Greatest Common Factor
We found the factors and prime factorization of 5408 and 5416. The biggest common factor number is the GCF number.
So the greatest common factor 5408 and 5416 is 8.
Also check out the Least Common Multiple of 5408 and 5416
(i) The GCF of 5408 and 5416 is associative
GCF of 5408 and 5416 = GCF of 5416 and 5408
1. What is the GCF of 5408 and 5416?
Answer: GCF of 5408 and 5416 is 8.
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 5416?
Answer: Factors of 5416 are 1, 2, 4, 8, 677, 1354, 2708, 5416. There are 8 integers that are factors of 5416. The greatest factor of 5416 is 5416.
4. How to Find the GCF of 5408 and 5416?
Answer:
Greatest Common Factor of 5408 and 5416 = 8
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 5416
5416 = 2 x 2 x 2 x 677
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 5408 and 5416 is 8