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 6852, 6859 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6852 and 6859 is 1.
GCF(6852,6859) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6852
2 | 6852 |
2 | 3426 |
3 | 1713 |
571 | 571 |
1 |
Prime factors of 6852 are 2,3,571. Prime factorization of 6852 in exponential form is:
6852 = 22×31×5711
Prime Factorization of 6859
19 | 6859 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 6859 are 19. Prime factorization of 6859 in exponential form is:
6859 = 193
∴ So by taking common prime factors GCF of 6852 and 6859 is 1
Factors of 6852
List of positive integer factors of 6852 that divides 6852 without a remainder.
1,2,3,4,6,12,571,1142,1713,2284,3426,6852
Factors of 6859
List of positive integer factors of 6859 that divides 6859 without a remainder.
1,19,361,6859
Greatest Common Factor
We found the factors and prime factorization of 6852 and 6859. The biggest common factor number is the GCF number.
So the greatest common factor 6852 and 6859 is 1.
Also check out the Least Common Multiple of 6852 and 6859
(i) The GCF of 6852 and 6859 is associative
GCF of 6852 and 6859 = GCF of 6859 and 6852
1. What is the GCF of 6852 and 6859?
Answer: GCF of 6852 and 6859 is 1.
2. What are the Factors of 6852?
Answer: Factors of 6852 are 1, 2, 3, 4, 6, 12, 571, 1142, 1713, 2284, 3426, 6852. There are 12 integers that are factors of 6852. The greatest factor of 6852 is 6852.
3. What are the Factors of 6859?
Answer: Factors of 6859 are 1, 19, 361, 6859. There are 4 integers that are factors of 6859. The greatest factor of 6859 is 6859.
4. How to Find the GCF of 6852 and 6859?
Answer:
Greatest Common Factor of 6852 and 6859 = 1
Step 1: Find the prime factorization of 6852
6852 = 2 x 2 x 3 x 571
Step 2: Find the prime factorization of 6859
6859 = 19 x 19 x 19
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 6852 and 6859 is 1