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 10068, 10073 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10068 and 10073 is 1.
GCF(10068,10073) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10068
2 | 10068 |
2 | 5034 |
3 | 2517 |
839 | 839 |
1 |
Prime factors of 10068 are 2,3,839. Prime factorization of 10068 in exponential form is:
10068 = 22×31×8391
Prime Factorization of 10073
7 | 10073 |
1439 | 1439 |
1 |
Prime factors of 10073 are 7,1439. Prime factorization of 10073 in exponential form is:
10073 = 71×14391
∴ So by taking common prime factors GCF of 10068 and 10073 is 1
Factors of 10068
List of positive integer factors of 10068 that divides 10068 without a remainder.
1,2,3,4,6,12,839,1678,2517,3356,5034,10068
Factors of 10073
List of positive integer factors of 10073 that divides 10073 without a remainder.
1,7,1439,10073
Greatest Common Factor
We found the factors and prime factorization of 10068 and 10073. The biggest common factor number is the GCF number.
So the greatest common factor 10068 and 10073 is 1.
Also check out the Least Common Multiple of 10068 and 10073
(i) The GCF of 10068 and 10073 is associative
GCF of 10068 and 10073 = GCF of 10073 and 10068
1. What is the GCF of 10068 and 10073?
Answer: GCF of 10068 and 10073 is 1.
2. What are the Factors of 10068?
Answer: Factors of 10068 are 1, 2, 3, 4, 6, 12, 839, 1678, 2517, 3356, 5034, 10068. There are 12 integers that are factors of 10068. The greatest factor of 10068 is 10068.
3. What are the Factors of 10073?
Answer: Factors of 10073 are 1, 7, 1439, 10073. There are 4 integers that are factors of 10073. The greatest factor of 10073 is 10073.
4. How to Find the GCF of 10068 and 10073?
Answer:
Greatest Common Factor of 10068 and 10073 = 1
Step 1: Find the prime factorization of 10068
10068 = 2 x 2 x 3 x 839
Step 2: Find the prime factorization of 10073
10073 = 7 x 1439
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 10068 and 10073 is 1