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 10056, 10059 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10056 and 10059 is 3.
GCF(10056,10059) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10056
2 | 10056 |
2 | 5028 |
2 | 2514 |
3 | 1257 |
419 | 419 |
1 |
Prime factors of 10056 are 2,3,419. Prime factorization of 10056 in exponential form is:
10056 = 23×31×4191
Prime Factorization of 10059
3 | 10059 |
7 | 3353 |
479 | 479 |
1 |
Prime factors of 10059 are 3,7,479. Prime factorization of 10059 in exponential form is:
10059 = 31×71×4791
∴ So by taking common prime factors GCF of 10056 and 10059 is 3
Factors of 10056
List of positive integer factors of 10056 that divides 10056 without a remainder.
1,2,3,4,6,8,12,24,419,838,1257,1676,2514,3352,5028,10056
Factors of 10059
List of positive integer factors of 10059 that divides 10059 without a remainder.
1,3,7,21,479,1437,3353,10059
Greatest Common Factor
We found the factors and prime factorization of 10056 and 10059. The biggest common factor number is the GCF number.
So the greatest common factor 10056 and 10059 is 3.
Also check out the Least Common Multiple of 10056 and 10059
(i) The GCF of 10056 and 10059 is associative
GCF of 10056 and 10059 = GCF of 10059 and 10056
1. What is the GCF of 10056 and 10059?
Answer: GCF of 10056 and 10059 is 3.
2. What are the Factors of 10056?
Answer: Factors of 10056 are 1, 2, 3, 4, 6, 8, 12, 24, 419, 838, 1257, 1676, 2514, 3352, 5028, 10056. There are 16 integers that are factors of 10056. The greatest factor of 10056 is 10056.
3. What are the Factors of 10059?
Answer: Factors of 10059 are 1, 3, 7, 21, 479, 1437, 3353, 10059. There are 8 integers that are factors of 10059. The greatest factor of 10059 is 10059.
4. How to Find the GCF of 10056 and 10059?
Answer:
Greatest Common Factor of 10056 and 10059 = 3
Step 1: Find the prime factorization of 10056
10056 = 2 x 2 x 2 x 3 x 419
Step 2: Find the prime factorization of 10059
10059 = 3 x 7 x 479
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 10056 and 10059 is 3