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 5185, 5190 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5185 and 5190 is 5.
GCF(5185,5190) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5185
5 | 5185 |
17 | 1037 |
61 | 61 |
1 |
Prime factors of 5185 are 5,17,61. Prime factorization of 5185 in exponential form is:
5185 = 51×171×611
Prime Factorization of 5190
2 | 5190 |
3 | 2595 |
5 | 865 |
173 | 173 |
1 |
Prime factors of 5190 are 2,3,5,173. Prime factorization of 5190 in exponential form is:
5190 = 21×31×51×1731
∴ So by taking common prime factors GCF of 5185 and 5190 is 5
Factors of 5185
List of positive integer factors of 5185 that divides 5185 without a remainder.
1,5,17,61,85,305,1037,5185
Factors of 5190
List of positive integer factors of 5190 that divides 5190 without a remainder.
1,2,3,5,6,10,15,30,173,346,519,865,1038,1730,2595,5190
Greatest Common Factor
We found the factors and prime factorization of 5185 and 5190. The biggest common factor number is the GCF number.
So the greatest common factor 5185 and 5190 is 5.
Also check out the Least Common Multiple of 5185 and 5190
(i) The GCF of 5185 and 5190 is associative
GCF of 5185 and 5190 = GCF of 5190 and 5185
1. What is the GCF of 5185 and 5190?
Answer: GCF of 5185 and 5190 is 5.
2. What are the Factors of 5185?
Answer: Factors of 5185 are 1, 5, 17, 61, 85, 305, 1037, 5185. There are 8 integers that are factors of 5185. The greatest factor of 5185 is 5185.
3. What are the Factors of 5190?
Answer: Factors of 5190 are 1, 2, 3, 5, 6, 10, 15, 30, 173, 346, 519, 865, 1038, 1730, 2595, 5190. There are 16 integers that are factors of 5190. The greatest factor of 5190 is 5190.
4. How to Find the GCF of 5185 and 5190?
Answer:
Greatest Common Factor of 5185 and 5190 = 5
Step 1: Find the prime factorization of 5185
5185 = 5 x 17 x 61
Step 2: Find the prime factorization of 5190
5190 = 2 x 3 x 5 x 173
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 5185 and 5190 is 5