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, 5273 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5270 and 5273 is 1.
GCF(5270,5273) = 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 5273
5273 | 5273 |
1 |
Prime factors of 5273 are 5273. Prime factorization of 5273 in exponential form is:
5273 = 52731
∴ So by taking common prime factors GCF of 5270 and 5273 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 5273
List of positive integer factors of 5273 that divides 5273 without a remainder.
1,5273
Greatest Common Factor
We found the factors and prime factorization of 5270 and 5273. The biggest common factor number is the GCF number.
So the greatest common factor 5270 and 5273 is 1.
Also check out the Least Common Multiple of 5270 and 5273
(i) The GCF of 5270 and 5273 is associative
GCF of 5270 and 5273 = GCF of 5273 and 5270
1. What is the GCF of 5270 and 5273?
Answer: GCF of 5270 and 5273 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 5273?
Answer: Factors of 5273 are 1, 5273. There are 2 integers that are factors of 5273. The greatest factor of 5273 is 5273.
4. How to Find the GCF of 5270 and 5273?
Answer:
Greatest Common Factor of 5270 and 5273 = 1
Step 1: Find the prime factorization of 5270
5270 = 2 x 5 x 17 x 31
Step 2: Find the prime factorization of 5273
5273 = 5273
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 5273 is 1