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 498, 505 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 498 and 505 is 1.
GCF(498,505) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 498
2 | 498 |
3 | 249 |
83 | 83 |
1 |
Prime factors of 498 are 2,3,83. Prime factorization of 498 in exponential form is:
498 = 21×31×831
Prime Factorization of 505
5 | 505 |
101 | 101 |
1 |
Prime factors of 505 are 5,101. Prime factorization of 505 in exponential form is:
505 = 51×1011
∴ So by taking common prime factors GCF of 498 and 505 is 1
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Greatest Common Factor
We found the factors and prime factorization of 498 and 505. The biggest common factor number is the GCF number.
So the greatest common factor 498 and 505 is 1.
Also check out the Least Common Multiple of 498 and 505
(i) The GCF of 498 and 505 is associative
GCF of 498 and 505 = GCF of 505 and 498
1. What is the GCF of 498 and 505?
Answer: GCF of 498 and 505 is 1.
2. What are the Factors of 498?
Answer: Factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498. There are 8 integers that are factors of 498. The greatest factor of 498 is 498.
3. What are the Factors of 505?
Answer: Factors of 505 are 1, 5, 101, 505. There are 4 integers that are factors of 505. The greatest factor of 505 is 505.
4. How to Find the GCF of 498 and 505?
Answer:
Greatest Common Factor of 498 and 505 = 1
Step 1: Find the prime factorization of 498
498 = 2 x 3 x 83
Step 2: Find the prime factorization of 505
505 = 5 x 101
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 498 and 505 is 1