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 497, 504 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 497 and 504 is 7.
GCF(497,504) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 497
7 | 497 |
71 | 71 |
1 |
Prime factors of 497 are 7,71. Prime factorization of 497 in exponential form is:
497 = 71×711
Prime Factorization of 504
2 | 504 |
2 | 252 |
2 | 126 |
3 | 63 |
3 | 21 |
7 | 7 |
1 |
Prime factors of 504 are 2,3,7. Prime factorization of 504 in exponential form is:
504 = 23×32×71
∴ So by taking common prime factors GCF of 497 and 504 is 7
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors and prime factorization of 497 and 504. The biggest common factor number is the GCF number.
So the greatest common factor 497 and 504 is 7.
Also check out the Least Common Multiple of 497 and 504
(i) The GCF of 497 and 504 is associative
GCF of 497 and 504 = GCF of 504 and 497
1. What is the GCF of 497 and 504?
Answer: GCF of 497 and 504 is 7.
2. What are the Factors of 497?
Answer: Factors of 497 are 1, 7, 71, 497. There are 4 integers that are factors of 497. The greatest factor of 497 is 497.
3. What are the Factors of 504?
Answer: Factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504. There are 24 integers that are factors of 504. The greatest factor of 504 is 504.
4. How to Find the GCF of 497 and 504?
Answer:
Greatest Common Factor of 497 and 504 = 7
Step 1: Find the prime factorization of 497
497 = 7 x 71
Step 2: Find the prime factorization of 504
504 = 2 x 2 x 2 x 3 x 3 x 7
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 497 and 504 is 7