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 1300, 1306 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1300 and 1306 is 2.
GCF(1300,1306) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1300
2 | 1300 |
2 | 650 |
5 | 325 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 1300 are 2,5,13. Prime factorization of 1300 in exponential form is:
1300 = 22×52×131
Prime Factorization of 1306
2 | 1306 |
653 | 653 |
1 |
Prime factors of 1306 are 2,653. Prime factorization of 1306 in exponential form is:
1306 = 21×6531
∴ So by taking common prime factors GCF of 1300 and 1306 is 2
Factors of 1300
List of positive integer factors of 1300 that divides 1300 without a remainder.
1,2,4,5,10,13,20,25,26,50,52,65,100,130,260,325,650,1300
Factors of 1306
List of positive integer factors of 1306 that divides 1306 without a remainder.
1,2,653,1306
Greatest Common Factor
We found the factors and prime factorization of 1300 and 1306. The biggest common factor number is the GCF number.
So the greatest common factor 1300 and 1306 is 2.
Also check out the Least Common Multiple of 1300 and 1306
(i) The GCF of 1300 and 1306 is associative
GCF of 1300 and 1306 = GCF of 1306 and 1300
1. What is the GCF of 1300 and 1306?
Answer: GCF of 1300 and 1306 is 2.
2. What are the Factors of 1300?
Answer: Factors of 1300 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300. There are 18 integers that are factors of 1300. The greatest factor of 1300 is 1300.
3. What are the Factors of 1306?
Answer: Factors of 1306 are 1, 2, 653, 1306. There are 4 integers that are factors of 1306. The greatest factor of 1306 is 1306.
4. How to Find the GCF of 1300 and 1306?
Answer:
Greatest Common Factor of 1300 and 1306 = 2
Step 1: Find the prime factorization of 1300
1300 = 2 x 2 x 5 x 5 x 13
Step 2: Find the prime factorization of 1306
1306 = 2 x 653
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1300 and 1306 is 2