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 9408, 9410 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9408 and 9410 is 2.
GCF(9408,9410) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9408
2 | 9408 |
2 | 4704 |
2 | 2352 |
2 | 1176 |
2 | 588 |
2 | 294 |
3 | 147 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 9408 are 2,3,7. Prime factorization of 9408 in exponential form is:
9408 = 26×31×72
Prime Factorization of 9410
2 | 9410 |
5 | 4705 |
941 | 941 |
1 |
Prime factors of 9410 are 2,5,941. Prime factorization of 9410 in exponential form is:
9410 = 21×51×9411
∴ So by taking common prime factors GCF of 9408 and 9410 is 2
Factors of 9408
List of positive integer factors of 9408 that divides 9408 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,64,84,96,98,112,147,168,192,196,224,294,336,392,448,588,672,784,1176,1344,1568,2352,3136,4704,9408
Factors of 9410
List of positive integer factors of 9410 that divides 9410 without a remainder.
1,2,5,10,941,1882,4705,9410
Greatest Common Factor
We found the factors and prime factorization of 9408 and 9410. The biggest common factor number is the GCF number.
So the greatest common factor 9408 and 9410 is 2.
Also check out the Least Common Multiple of 9408 and 9410
(i) The GCF of 9408 and 9410 is associative
GCF of 9408 and 9410 = GCF of 9410 and 9408
1. What is the GCF of 9408 and 9410?
Answer: GCF of 9408 and 9410 is 2.
2. What are the Factors of 9408?
Answer: Factors of 9408 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 147, 168, 192, 196, 224, 294, 336, 392, 448, 588, 672, 784, 1176, 1344, 1568, 2352, 3136, 4704, 9408. There are 42 integers that are factors of 9408. The greatest factor of 9408 is 9408.
3. What are the Factors of 9410?
Answer: Factors of 9410 are 1, 2, 5, 10, 941, 1882, 4705, 9410. There are 8 integers that are factors of 9410. The greatest factor of 9410 is 9410.
4. How to Find the GCF of 9408 and 9410?
Answer:
Greatest Common Factor of 9408 and 9410 = 2
Step 1: Find the prime factorization of 9408
9408 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7
Step 2: Find the prime factorization of 9410
9410 = 2 x 5 x 941
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 9408 and 9410 is 2