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 5271, 5276 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5271 and 5276 is 1.
GCF(5271,5276) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5271
3 | 5271 |
7 | 1757 |
251 | 251 |
1 |
Prime factors of 5271 are 3,7,251. Prime factorization of 5271 in exponential form is:
5271 = 31×71×2511
Prime Factorization of 5276
2 | 5276 |
2 | 2638 |
1319 | 1319 |
1 |
Prime factors of 5276 are 2,1319. Prime factorization of 5276 in exponential form is:
5276 = 22×13191
∴ So by taking common prime factors GCF of 5271 and 5276 is 1
Factors of 5271
List of positive integer factors of 5271 that divides 5271 without a remainder.
1,3,7,21,251,753,1757,5271
Factors of 5276
List of positive integer factors of 5276 that divides 5276 without a remainder.
1,2,4,1319,2638,5276
Greatest Common Factor
We found the factors and prime factorization of 5271 and 5276. The biggest common factor number is the GCF number.
So the greatest common factor 5271 and 5276 is 1.
Also check out the Least Common Multiple of 5271 and 5276
(i) The GCF of 5271 and 5276 is associative
GCF of 5271 and 5276 = GCF of 5276 and 5271
1. What is the GCF of 5271 and 5276?
Answer: GCF of 5271 and 5276 is 1.
2. What are the Factors of 5271?
Answer: Factors of 5271 are 1, 3, 7, 21, 251, 753, 1757, 5271. There are 8 integers that are factors of 5271. The greatest factor of 5271 is 5271.
3. What are the Factors of 5276?
Answer: Factors of 5276 are 1, 2, 4, 1319, 2638, 5276. There are 6 integers that are factors of 5276. The greatest factor of 5276 is 5276.
4. How to Find the GCF of 5271 and 5276?
Answer:
Greatest Common Factor of 5271 and 5276 = 1
Step 1: Find the prime factorization of 5271
5271 = 3 x 7 x 251
Step 2: Find the prime factorization of 5276
5276 = 2 x 2 x 1319
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 5271 and 5276 is 1