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 499, 501 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 499 and 501 is 1.
GCF(499,501) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 499
499 | 499 |
1 |
Prime factors of 499 are 499. Prime factorization of 499 in exponential form is:
499 = 4991
Prime Factorization of 501
3 | 501 |
167 | 167 |
1 |
Prime factors of 501 are 3.Prime factorization of 501 in exponential form is:
501 = 31×1671
∴ So by taking common prime factors GCF of 499 and 501 is 1
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Greatest Common Factor
We found the factors and prime factorization of 499 and 501. The biggest common factor number is the GCF number.
So the greatest common factor 499 and 501 is 1.
Also check out the Least Common Multiple of 499 and 501
(i) The GCF of 499 and 501 is associative
GCF of 499 and 501 = GCF of 501 and 499
1. What is the GCF of 499 and 501?
Answer: GCF of 499 and 501 is 1.
2. What are the Factors of 499?
Answer: Factors of 499 are 1, 499. There are 2 integers that are factors of 499. The greatest factor of 499 is 499.
3. What are the Factors of 501?
Answer: Factors of 501 are 1, 3, 167, 501. There are 4 integers that are factors of 501. The greatest factor of 501 is 501.
4. How to Find the GCF of 499 and 501?
Answer:
Greatest Common Factor of 499 and 501 = 1
Step 1: Find the prime factorization of 499
499 = 499
Step 2: Find the prime factorization of 501
501 = 3 x 167
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 499 and 501 is 1