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 15406, 15408 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15406 and 15408 is 2.
GCF(15406,15408) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15406
2 | 15406 |
7703 | 7703 |
1 |
Prime factors of 15406 are 2,7703. Prime factorization of 15406 in exponential form is:
15406 = 21×77031
Prime Factorization of 15408
2 | 15408 |
2 | 7704 |
2 | 3852 |
2 | 1926 |
3 | 963 |
3 | 321 |
107 | 107 |
1 |
Prime factors of 15408 are 2,3,107. Prime factorization of 15408 in exponential form is:
15408 = 24×32×1071
∴ So by taking common prime factors GCF of 15406 and 15408 is 2
Factors of 15406
List of positive integer factors of 15406 that divides 15406 without a remainder.
1,2,7703,15406
Factors of 15408
List of positive integer factors of 15408 that divides 15408 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,107,144,214,321,428,642,856,963,1284,1712,1926,2568,3852,5136,7704,15408
Greatest Common Factor
We found the factors and prime factorization of 15406 and 15408. The biggest common factor number is the GCF number.
So the greatest common factor 15406 and 15408 is 2.
Also check out the Least Common Multiple of 15406 and 15408
(i) The GCF of 15406 and 15408 is associative
GCF of 15406 and 15408 = GCF of 15408 and 15406
1. What is the GCF of 15406 and 15408?
Answer: GCF of 15406 and 15408 is 2.
2. What are the Factors of 15406?
Answer: Factors of 15406 are 1, 2, 7703, 15406. There are 4 integers that are factors of 15406. The greatest factor of 15406 is 15406.
3. What are the Factors of 15408?
Answer: Factors of 15408 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 107, 144, 214, 321, 428, 642, 856, 963, 1284, 1712, 1926, 2568, 3852, 5136, 7704, 15408. There are 30 integers that are factors of 15408. The greatest factor of 15408 is 15408.
4. How to Find the GCF of 15406 and 15408?
Answer:
Greatest Common Factor of 15406 and 15408 = 2
Step 1: Find the prime factorization of 15406
15406 = 2 x 7703
Step 2: Find the prime factorization of 15408
15408 = 2 x 2 x 2 x 2 x 3 x 3 x 107
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 15406 and 15408 is 2