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, 7503 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7497 and 7503 is 3.
GCF(7497,7503) = 3
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 7503
3 | 7503 |
41 | 2501 |
61 | 61 |
1 |
Prime factors of 7503 are 3,41,61. Prime factorization of 7503 in exponential form is:
7503 = 31×411×611
∴ So by taking common prime factors GCF of 7497 and 7503 is 3
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 7503
List of positive integer factors of 7503 that divides 7503 without a remainder.
1,3,41,61,123,183,2501,7503
Greatest Common Factor
We found the factors and prime factorization of 7497 and 7503. The biggest common factor number is the GCF number.
So the greatest common factor 7497 and 7503 is 3.
Also check out the Least Common Multiple of 7497 and 7503
(i) The GCF of 7497 and 7503 is associative
GCF of 7497 and 7503 = GCF of 7503 and 7497
1. What is the GCF of 7497 and 7503?
Answer: GCF of 7497 and 7503 is 3.
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 7503?
Answer: Factors of 7503 are 1, 3, 41, 61, 123, 183, 2501, 7503. There are 8 integers that are factors of 7503. The greatest factor of 7503 is 7503.
4. How to Find the GCF of 7497 and 7503?
Answer:
Greatest Common Factor of 7497 and 7503 = 3
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 7503
7503 = 3 x 41 x 61
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 7497 and 7503 is 3