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 5270, 5271 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5270 and 5271 is 1.
GCF(5270,5271) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5270
2 | 5270 |
5 | 2635 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 5270 are 2,5,17,31. Prime factorization of 5270 in exponential form is:
5270 = 21×51×171×311
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
∴ So by taking common prime factors GCF of 5270 and 5271 is 1
Factors of 5270
List of positive integer factors of 5270 that divides 5270 without a remainder.
1,2,5,10,17,31,34,62,85,155,170,310,527,1054,2635,5270
Factors of 5271
List of positive integer factors of 5271 that divides 5271 without a remainder.
1,3,7,21,251,753,1757,5271
Greatest Common Factor
We found the factors and prime factorization of 5270 and 5271. The biggest common factor number is the GCF number.
So the greatest common factor 5270 and 5271 is 1.
Also check out the Least Common Multiple of 5270 and 5271
(i) The GCF of 5270 and 5271 is associative
GCF of 5270 and 5271 = GCF of 5271 and 5270
1. What is the GCF of 5270 and 5271?
Answer: GCF of 5270 and 5271 is 1.
2. What are the Factors of 5270?
Answer: Factors of 5270 are 1, 2, 5, 10, 17, 31, 34, 62, 85, 155, 170, 310, 527, 1054, 2635, 5270. There are 16 integers that are factors of 5270. The greatest factor of 5270 is 5270.
3. 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.
4. How to Find the GCF of 5270 and 5271?
Answer:
Greatest Common Factor of 5270 and 5271 = 1
Step 1: Find the prime factorization of 5270
5270 = 2 x 5 x 17 x 31
Step 2: Find the prime factorization of 5271
5271 = 3 x 7 x 251
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 5270 and 5271 is 1