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 5094, 5102 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5094 and 5102 is 2.
GCF(5094,5102) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5094
2 | 5094 |
3 | 2547 |
3 | 849 |
283 | 283 |
1 |
Prime factors of 5094 are 2,3,283. Prime factorization of 5094 in exponential form is:
5094 = 21×32×2831
Prime Factorization of 5102
2 | 5102 |
2551 | 2551 |
1 |
Prime factors of 5102 are 2,2551. Prime factorization of 5102 in exponential form is:
5102 = 21×25511
∴ So by taking common prime factors GCF of 5094 and 5102 is 2
Factors of 5094
List of positive integer factors of 5094 that divides 5094 without a remainder.
1,2,3,6,9,18,283,566,849,1698,2547,5094
Factors of 5102
List of positive integer factors of 5102 that divides 5102 without a remainder.
1,2,2551,5102
Greatest Common Factor
We found the factors and prime factorization of 5094 and 5102. The biggest common factor number is the GCF number.
So the greatest common factor 5094 and 5102 is 2.
Also check out the Least Common Multiple of 5094 and 5102
(i) The GCF of 5094 and 5102 is associative
GCF of 5094 and 5102 = GCF of 5102 and 5094
1. What is the GCF of 5094 and 5102?
Answer: GCF of 5094 and 5102 is 2.
2. What are the Factors of 5094?
Answer: Factors of 5094 are 1, 2, 3, 6, 9, 18, 283, 566, 849, 1698, 2547, 5094. There are 12 integers that are factors of 5094. The greatest factor of 5094 is 5094.
3. What are the Factors of 5102?
Answer: Factors of 5102 are 1, 2, 2551, 5102. There are 4 integers that are factors of 5102. The greatest factor of 5102 is 5102.
4. How to Find the GCF of 5094 and 5102?
Answer:
Greatest Common Factor of 5094 and 5102 = 2
Step 1: Find the prime factorization of 5094
5094 = 2 x 3 x 3 x 283
Step 2: Find the prime factorization of 5102
5102 = 2 x 2551
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 5094 and 5102 is 2