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 10308, 10314 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10308 and 10314 is 6.
GCF(10308,10314) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10308
2 | 10308 |
2 | 5154 |
3 | 2577 |
859 | 859 |
1 |
Prime factors of 10308 are 2,3,859. Prime factorization of 10308 in exponential form is:
10308 = 22×31×8591
Prime Factorization of 10314
2 | 10314 |
3 | 5157 |
3 | 1719 |
3 | 573 |
191 | 191 |
1 |
Prime factors of 10314 are 2,3,191. Prime factorization of 10314 in exponential form is:
10314 = 21×33×1911
∴ So by taking common prime factors GCF of 10308 and 10314 is 6
Factors of 10308
List of positive integer factors of 10308 that divides 10308 without a remainder.
1,2,3,4,6,12,859,1718,2577,3436,5154,10308
Factors of 10314
List of positive integer factors of 10314 that divides 10314 without a remainder.
1,2,3,6,9,18,27,54,191,382,573,1146,1719,3438,5157,10314
Greatest Common Factor
We found the factors and prime factorization of 10308 and 10314. The biggest common factor number is the GCF number.
So the greatest common factor 10308 and 10314 is 6.
Also check out the Least Common Multiple of 10308 and 10314
(i) The GCF of 10308 and 10314 is associative
GCF of 10308 and 10314 = GCF of 10314 and 10308
1. What is the GCF of 10308 and 10314?
Answer: GCF of 10308 and 10314 is 6.
2. What are the Factors of 10308?
Answer: Factors of 10308 are 1, 2, 3, 4, 6, 12, 859, 1718, 2577, 3436, 5154, 10308. There are 12 integers that are factors of 10308. The greatest factor of 10308 is 10308.
3. What are the Factors of 10314?
Answer: Factors of 10314 are 1, 2, 3, 6, 9, 18, 27, 54, 191, 382, 573, 1146, 1719, 3438, 5157, 10314. There are 16 integers that are factors of 10314. The greatest factor of 10314 is 10314.
4. How to Find the GCF of 10308 and 10314?
Answer:
Greatest Common Factor of 10308 and 10314 = 6
Step 1: Find the prime factorization of 10308
10308 = 2 x 2 x 3 x 859
Step 2: Find the prime factorization of 10314
10314 = 2 x 3 x 3 x 3 x 191
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 10308 and 10314 is 6