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 7497, 7504 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7497 and 7504 is 7.
GCF(7497,7504) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7497
3 | 7497 |
3 | 2499 |
7 | 833 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 7497 are 3,7,17. Prime factorization of 7497 in exponential form is:
7497 = 32×72×171
Prime Factorization of 7504
2 | 7504 |
2 | 3752 |
2 | 1876 |
2 | 938 |
7 | 469 |
67 | 67 |
1 |
Prime factors of 7504 are 2,7,67. Prime factorization of 7504 in exponential form is:
7504 = 24×71×671
∴ So by taking common prime factors GCF of 7497 and 7504 is 7
Factors of 7497
List of positive integer factors of 7497 that divides 7497 without a remainder.
1,3,7,9,17,21,49,51,63,119,147,153,357,441,833,1071,2499,7497
Factors of 7504
List of positive integer factors of 7504 that divides 7504 without a remainder.
1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504
Greatest Common Factor
We found the factors and prime factorization of 7497 and 7504. The biggest common factor number is the GCF number.
So the greatest common factor 7497 and 7504 is 7.
Also check out the Least Common Multiple of 7497 and 7504
(i) The GCF of 7497 and 7504 is associative
GCF of 7497 and 7504 = GCF of 7504 and 7497
1. What is the GCF of 7497 and 7504?
Answer: GCF of 7497 and 7504 is 7.
2. What are the Factors of 7497?
Answer: Factors of 7497 are 1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 357, 441, 833, 1071, 2499, 7497. There are 18 integers that are factors of 7497. The greatest factor of 7497 is 7497.
3. What are the Factors of 7504?
Answer: Factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504. There are 20 integers that are factors of 7504. The greatest factor of 7504 is 7504.
4. How to Find the GCF of 7497 and 7504?
Answer:
Greatest Common Factor of 7497 and 7504 = 7
Step 1: Find the prime factorization of 7497
7497 = 3 x 3 x 7 x 7 x 17
Step 2: Find the prime factorization of 7504
7504 = 2 x 2 x 2 x 2 x 7 x 67
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 7497 and 7504 is 7