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 492, 499 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 492 and 499 is 1.
GCF(492,499) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 492
2 | 492 |
2 | 246 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 492 are 2,3,41. Prime factorization of 492 in exponential form is:
492 = 22×31×411
Prime Factorization of 499
499 | 499 |
1 |
Prime factors of 499 are 499. Prime factorization of 499 in exponential form is:
499 = 4991
∴ So by taking common prime factors GCF of 492 and 499 is 1
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Greatest Common Factor
We found the factors and prime factorization of 492 and 499. The biggest common factor number is the GCF number.
So the greatest common factor 492 and 499 is 1.
Also check out the Least Common Multiple of 492 and 499
(i) The GCF of 492 and 499 is associative
GCF of 492 and 499 = GCF of 499 and 492
1. What is the GCF of 492 and 499?
Answer: GCF of 492 and 499 is 1.
2. What are the Factors of 492?
Answer: Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492. There are 12 integers that are factors of 492. The greatest factor of 492 is 492.
3. 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.
4. How to Find the GCF of 492 and 499?
Answer:
Greatest Common Factor of 492 and 499 = 1
Step 1: Find the prime factorization of 492
492 = 2 x 2 x 3 x 41
Step 2: Find the prime factorization of 499
499 = 499
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 492 and 499 is 1