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 5159, 5163 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5159 and 5163 is 1.
GCF(5159,5163) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5159
7 | 5159 |
11 | 737 |
67 | 67 |
1 |
Prime factors of 5159 are 7,11,67. Prime factorization of 5159 in exponential form is:
5159 = 71×111×671
Prime Factorization of 5163
3 | 5163 |
1721 | 1721 |
1 |
Prime factors of 5163 are 3,1721. Prime factorization of 5163 in exponential form is:
5163 = 31×17211
∴ So by taking common prime factors GCF of 5159 and 5163 is 1
Factors of 5159
List of positive integer factors of 5159 that divides 5159 without a remainder.
1,7,11,67,77,469,737,5159
Factors of 5163
List of positive integer factors of 5163 that divides 5163 without a remainder.
1,3,1721,5163
Greatest Common Factor
We found the factors and prime factorization of 5159 and 5163. The biggest common factor number is the GCF number.
So the greatest common factor 5159 and 5163 is 1.
Also check out the Least Common Multiple of 5159 and 5163
(i) The GCF of 5159 and 5163 is associative
GCF of 5159 and 5163 = GCF of 5163 and 5159
1. What is the GCF of 5159 and 5163?
Answer: GCF of 5159 and 5163 is 1.
2. What are the Factors of 5159?
Answer: Factors of 5159 are 1, 7, 11, 67, 77, 469, 737, 5159. There are 8 integers that are factors of 5159. The greatest factor of 5159 is 5159.
3. What are the Factors of 5163?
Answer: Factors of 5163 are 1, 3, 1721, 5163. There are 4 integers that are factors of 5163. The greatest factor of 5163 is 5163.
4. How to Find the GCF of 5159 and 5163?
Answer:
Greatest Common Factor of 5159 and 5163 = 1
Step 1: Find the prime factorization of 5159
5159 = 7 x 11 x 67
Step 2: Find the prime factorization of 5163
5163 = 3 x 1721
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 5159 and 5163 is 1