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 259, 260 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 259 and 260 is 1.
GCF(259,260) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 259
7 | 259 |
37 | 37 |
1 |
Prime factors of 259 are 7,37. Prime factorization of 259 in exponential form is:
259 = 71×371
Prime Factorization of 260
2 | 260 |
2 | 130 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 260 are 2,5,13. Prime factorization of 260 in exponential form is:
260 = 22×51×131
∴ So by taking common prime factors GCF of 259 and 260 is 1
Factors of 259
List of positive integer factors of 259 that divides 259 without a remainder.
1,7,37,259
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Greatest Common Factor
We found the factors and prime factorization of 259 and 260. The biggest common factor number is the GCF number.
So the greatest common factor 259 and 260 is 1.
Also check out the Least Common Multiple of 259 and 260
(i) The GCF of 259 and 260 is associative
GCF of 259 and 260 = GCF of 260 and 259
1. What is the GCF of 259 and 260?
Answer: GCF of 259 and 260 is 1.
2. What are the Factors of 259?
Answer: Factors of 259 are 1, 7, 37, 259. There are 4 integers that are factors of 259. The greatest factor of 259 is 259.
3. What are the Factors of 260?
Answer: Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. There are 12 integers that are factors of 260. The greatest factor of 260 is 260.
4. How to Find the GCF of 259 and 260?
Answer:
Greatest Common Factor of 259 and 260 = 1
Step 1: Find the prime factorization of 259
259 = 7 x 37
Step 2: Find the prime factorization of 260
260 = 2 x 2 x 5 x 13
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 259 and 260 is 1