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 5034, 5042 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5034 and 5042 is 2.
GCF(5034,5042) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5034
2 | 5034 |
3 | 2517 |
839 | 839 |
1 |
Prime factors of 5034 are 2,3,839. Prime factorization of 5034 in exponential form is:
5034 = 21×31×8391
Prime Factorization of 5042
2 | 5042 |
2521 | 2521 |
1 |
Prime factors of 5042 are 2,2521. Prime factorization of 5042 in exponential form is:
5042 = 21×25211
∴ So by taking common prime factors GCF of 5034 and 5042 is 2
Factors of 5034
List of positive integer factors of 5034 that divides 5034 without a remainder.
1,2,3,6,839,1678,2517,5034
Factors of 5042
List of positive integer factors of 5042 that divides 5042 without a remainder.
1,2,2521,5042
Greatest Common Factor
We found the factors and prime factorization of 5034 and 5042. The biggest common factor number is the GCF number.
So the greatest common factor 5034 and 5042 is 2.
Also check out the Least Common Multiple of 5034 and 5042
(i) The GCF of 5034 and 5042 is associative
GCF of 5034 and 5042 = GCF of 5042 and 5034
1. What is the GCF of 5034 and 5042?
Answer: GCF of 5034 and 5042 is 2.
2. What are the Factors of 5034?
Answer: Factors of 5034 are 1, 2, 3, 6, 839, 1678, 2517, 5034. There are 8 integers that are factors of 5034. The greatest factor of 5034 is 5034.
3. What are the Factors of 5042?
Answer: Factors of 5042 are 1, 2, 2521, 5042. There are 4 integers that are factors of 5042. The greatest factor of 5042 is 5042.
4. How to Find the GCF of 5034 and 5042?
Answer:
Greatest Common Factor of 5034 and 5042 = 2
Step 1: Find the prime factorization of 5034
5034 = 2 x 3 x 839
Step 2: Find the prime factorization of 5042
5042 = 2 x 2521
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 5034 and 5042 is 2