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 496, 502 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 496 and 502 is 2.
GCF(496,502) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 496
2 | 496 |
2 | 248 |
2 | 124 |
2 | 62 |
31 | 31 |
1 |
Prime factors of 496 are 2,31. Prime factorization of 496 in exponential form is:
496 = 24×311
Prime Factorization of 502
2 | 502 |
251 | 251 |
1 |
Prime factors of 502 are 2,251. Prime factorization of 502 in exponential form is:
502 = 21×2511
∴ So by taking common prime factors GCF of 496 and 502 is 2
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Greatest Common Factor
We found the factors and prime factorization of 496 and 502. The biggest common factor number is the GCF number.
So the greatest common factor 496 and 502 is 2.
Also check out the Least Common Multiple of 496 and 502
(i) The GCF of 496 and 502 is associative
GCF of 496 and 502 = GCF of 502 and 496
1. What is the GCF of 496 and 502?
Answer: GCF of 496 and 502 is 2.
2. What are the Factors of 496?
Answer: Factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496. There are 10 integers that are factors of 496. The greatest factor of 496 is 496.
3. What are the Factors of 502?
Answer: Factors of 502 are 1, 2, 251, 502. There are 4 integers that are factors of 502. The greatest factor of 502 is 502.
4. How to Find the GCF of 496 and 502?
Answer:
Greatest Common Factor of 496 and 502 = 2
Step 1: Find the prime factorization of 496
496 = 2 x 2 x 2 x 2 x 31
Step 2: Find the prime factorization of 502
502 = 2 x 251
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 496 and 502 is 2