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 7404, 7410 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7404 and 7410 is 6.
GCF(7404,7410) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7404
2 | 7404 |
2 | 3702 |
3 | 1851 |
617 | 617 |
1 |
Prime factors of 7404 are 2,3,617. Prime factorization of 7404 in exponential form is:
7404 = 22×31×6171
Prime Factorization of 7410
2 | 7410 |
3 | 3705 |
5 | 1235 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 7410 are 2,3,5,13,19. Prime factorization of 7410 in exponential form is:
7410 = 21×31×51×131×191
∴ So by taking common prime factors GCF of 7404 and 7410 is 6
Factors of 7404
List of positive integer factors of 7404 that divides 7404 without a remainder.
1,2,3,4,6,12,617,1234,1851,2468,3702,7404
Factors of 7410
List of positive integer factors of 7410 that divides 7410 without a remainder.
1,2,3,5,6,10,13,15,19,26,30,38,39,57,65,78,95,114,130,190,195,247,285,390,494,570,741,1235,1482,2470,3705,7410
Greatest Common Factor
We found the factors and prime factorization of 7404 and 7410. The biggest common factor number is the GCF number.
So the greatest common factor 7404 and 7410 is 6.
Also check out the Least Common Multiple of 7404 and 7410
(i) The GCF of 7404 and 7410 is associative
GCF of 7404 and 7410 = GCF of 7410 and 7404
1. What is the GCF of 7404 and 7410?
Answer: GCF of 7404 and 7410 is 6.
2. What are the Factors of 7404?
Answer: Factors of 7404 are 1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404. There are 12 integers that are factors of 7404. The greatest factor of 7404 is 7404.
3. What are the Factors of 7410?
Answer: Factors of 7410 are 1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705, 7410. There are 32 integers that are factors of 7410. The greatest factor of 7410 is 7410.
4. How to Find the GCF of 7404 and 7410?
Answer:
Greatest Common Factor of 7404 and 7410 = 6
Step 1: Find the prime factorization of 7404
7404 = 2 x 2 x 3 x 617
Step 2: Find the prime factorization of 7410
7410 = 2 x 3 x 5 x 13 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 7404 and 7410 is 6