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 1259, 1260 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1259 and 1260 is 1.
GCF(1259,1260) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1259
1259 | 1259 |
1 |
Prime factors of 1259 are 1259. Prime factorization of 1259 in exponential form is:
1259 = 12591
Prime Factorization of 1260
2 | 1260 |
2 | 630 |
3 | 315 |
3 | 105 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 1260 are 2.Prime factorization of 1260 in exponential form is:
1260 = 22×32×51×71
∴ So by taking common prime factors GCF of 1259 and 1260 is 1
Factors of 1259
List of positive integer factors of 1259 that divides 1259 without a remainder.
1,1259
Factors of 1260
List of positive integer factors of 1260 that divides 1260 without a remainder.
1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260
Greatest Common Factor
We found the factors and prime factorization of 1259 and 1260. The biggest common factor number is the GCF number.
So the greatest common factor 1259 and 1260 is 1.
Also check out the Least Common Multiple of 1259 and 1260
(i) The GCF of 1259 and 1260 is associative
GCF of 1259 and 1260 = GCF of 1260 and 1259
1. What is the GCF of 1259 and 1260?
Answer: GCF of 1259 and 1260 is 1.
2. What are the Factors of 1259?
Answer: Factors of 1259 are 1, 1259. There are 2 integers that are factors of 1259. The greatest factor of 1259 is 1259.
3. What are the Factors of 1260?
Answer: Factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260. There are 36 integers that are factors of 1260. The greatest factor of 1260 is 1260.
4. How to Find the GCF of 1259 and 1260?
Answer:
Greatest Common Factor of 1259 and 1260 = 1
Step 1: Find the prime factorization of 1259
1259 = 1259
Step 2: Find the prime factorization of 1260
1260 = 2 x 2 x 3 x 3 x 5 x 7
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 1259 and 1260 is 1