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 5190, 5195 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5190 and 5195 is 5.
GCF(5190,5195) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5195
5 | 5195 |
1039 | 1039 |
1 |
Prime factors of 5195 are 5,1039. Prime factorization of 5195 in exponential form is:
5195 = 51×10391
∴ So by taking common prime factors GCF of 5190 and 5195 is 5
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
Factors of 5195
List of positive integer factors of 5195 that divides 5195 without a remainder.
1,5,1039,5195
Greatest Common Factor
We found the factors and prime factorization of 5190 and 5195. The biggest common factor number is the GCF number.
So the greatest common factor 5190 and 5195 is 5.
Also check out the Least Common Multiple of 5190 and 5195
(i) The GCF of 5190 and 5195 is associative
GCF of 5190 and 5195 = GCF of 5195 and 5190
1. What is the GCF of 5190 and 5195?
Answer: GCF of 5190 and 5195 is 5.
2. 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.
3. What are the Factors of 5195?
Answer: Factors of 5195 are 1, 5, 1039, 5195. There are 4 integers that are factors of 5195. The greatest factor of 5195 is 5195.
4. How to Find the GCF of 5190 and 5195?
Answer:
Greatest Common Factor of 5190 and 5195 = 5
Step 1: Find the prime factorization of 5190
5190 = 2 x 3 x 5 x 173
Step 2: Find the prime factorization of 5195
5195 = 5 x 1039
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 5190 and 5195 is 5