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 5150, 5156 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5150 and 5156 is 2.
GCF(5150,5156) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5150
2 | 5150 |
5 | 2575 |
5 | 515 |
103 | 103 |
1 |
Prime factors of 5150 are 2,5,103. Prime factorization of 5150 in exponential form is:
5150 = 21×52×1031
Prime Factorization of 5156
2 | 5156 |
2 | 2578 |
1289 | 1289 |
1 |
Prime factors of 5156 are 2,1289. Prime factorization of 5156 in exponential form is:
5156 = 22×12891
∴ So by taking common prime factors GCF of 5150 and 5156 is 2
Factors of 5150
List of positive integer factors of 5150 that divides 5150 without a remainder.
1,2,5,10,25,50,103,206,515,1030,2575,5150
Factors of 5156
List of positive integer factors of 5156 that divides 5156 without a remainder.
1,2,4,1289,2578,5156
Greatest Common Factor
We found the factors and prime factorization of 5150 and 5156. The biggest common factor number is the GCF number.
So the greatest common factor 5150 and 5156 is 2.
Also check out the Least Common Multiple of 5150 and 5156
(i) The GCF of 5150 and 5156 is associative
GCF of 5150 and 5156 = GCF of 5156 and 5150
1. What is the GCF of 5150 and 5156?
Answer: GCF of 5150 and 5156 is 2.
2. What are the Factors of 5150?
Answer: Factors of 5150 are 1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150. There are 12 integers that are factors of 5150. The greatest factor of 5150 is 5150.
3. What are the Factors of 5156?
Answer: Factors of 5156 are 1, 2, 4, 1289, 2578, 5156. There are 6 integers that are factors of 5156. The greatest factor of 5156 is 5156.
4. How to Find the GCF of 5150 and 5156?
Answer:
Greatest Common Factor of 5150 and 5156 = 2
Step 1: Find the prime factorization of 5150
5150 = 2 x 5 x 5 x 103
Step 2: Find the prime factorization of 5156
5156 = 2 x 2 x 1289
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 5150 and 5156 is 2