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 5195, 5198 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5195 and 5198 is 1.
GCF(5195,5198) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5198
2 | 5198 |
23 | 2599 |
113 | 113 |
1 |
Prime factors of 5198 are 2,23,113. Prime factorization of 5198 in exponential form is:
5198 = 21×231×1131
∴ So by taking common prime factors GCF of 5195 and 5198 is 1
Factors of 5195
List of positive integer factors of 5195 that divides 5195 without a remainder.
1,5,1039,5195
Factors of 5198
List of positive integer factors of 5198 that divides 5198 without a remainder.
1,2,23,46,113,226,2599,5198
Greatest Common Factor
We found the factors and prime factorization of 5195 and 5198. The biggest common factor number is the GCF number.
So the greatest common factor 5195 and 5198 is 1.
Also check out the Least Common Multiple of 5195 and 5198
(i) The GCF of 5195 and 5198 is associative
GCF of 5195 and 5198 = GCF of 5198 and 5195
1. What is the GCF of 5195 and 5198?
Answer: GCF of 5195 and 5198 is 1.
2. 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.
3. What are the Factors of 5198?
Answer: Factors of 5198 are 1, 2, 23, 46, 113, 226, 2599, 5198. There are 8 integers that are factors of 5198. The greatest factor of 5198 is 5198.
4. How to Find the GCF of 5195 and 5198?
Answer:
Greatest Common Factor of 5195 and 5198 = 1
Step 1: Find the prime factorization of 5195
5195 = 5 x 1039
Step 2: Find the prime factorization of 5198
5198 = 2 x 23 x 113
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 5195 and 5198 is 1