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 487, 492 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 487 and 492 is 1.
GCF(487,492) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 487
487 | 487 |
1 |
Prime factors of 487 are 487. Prime factorization of 487 in exponential form is:
487 = 4871
Prime Factorization of 492
2 | 492 |
2 | 246 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 492 are 2.Prime factorization of 492 in exponential form is:
492 = 22×31×411
∴ So by taking common prime factors GCF of 487 and 492 is 1
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
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
Greatest Common Factor
We found the factors and prime factorization of 487 and 492. The biggest common factor number is the GCF number.
So the greatest common factor 487 and 492 is 1.
Also check out the Least Common Multiple of 487 and 492
(i) The GCF of 487 and 492 is associative
GCF of 487 and 492 = GCF of 492 and 487
1. What is the GCF of 487 and 492?
Answer: GCF of 487 and 492 is 1.
2. What are the Factors of 487?
Answer: Factors of 487 are 1, 487. There are 2 integers that are factors of 487. The greatest factor of 487 is 487.
3. 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.
4. How to Find the GCF of 487 and 492?
Answer:
Greatest Common Factor of 487 and 492 = 1
Step 1: Find the prime factorization of 487
487 = 487
Step 2: Find the prime factorization of 492
492 = 2 x 2 x 3 x 41
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 487 and 492 is 1