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 6801, 6802 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6801 and 6802 is 1.
GCF(6801,6802) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6801
3 | 6801 |
2267 | 2267 |
1 |
Prime factors of 6801 are 3,2267. Prime factorization of 6801 in exponential form is:
6801 = 31×22671
Prime Factorization of 6802
2 | 6802 |
19 | 3401 |
179 | 179 |
1 |
Prime factors of 6802 are 2,19,179. Prime factorization of 6802 in exponential form is:
6802 = 21×191×1791
∴ So by taking common prime factors GCF of 6801 and 6802 is 1
Factors of 6801
List of positive integer factors of 6801 that divides 6801 without a remainder.
1,3,2267,6801
Factors of 6802
List of positive integer factors of 6802 that divides 6802 without a remainder.
1,2,19,38,179,358,3401,6802
Greatest Common Factor
We found the factors and prime factorization of 6801 and 6802. The biggest common factor number is the GCF number.
So the greatest common factor 6801 and 6802 is 1.
Also check out the Least Common Multiple of 6801 and 6802
(i) The GCF of 6801 and 6802 is associative
GCF of 6801 and 6802 = GCF of 6802 and 6801
1. What is the GCF of 6801 and 6802?
Answer: GCF of 6801 and 6802 is 1.
2. What are the Factors of 6801?
Answer: Factors of 6801 are 1, 3, 2267, 6801. There are 4 integers that are factors of 6801. The greatest factor of 6801 is 6801.
3. What are the Factors of 6802?
Answer: Factors of 6802 are 1, 2, 19, 38, 179, 358, 3401, 6802. There are 8 integers that are factors of 6802. The greatest factor of 6802 is 6802.
4. How to Find the GCF of 6801 and 6802?
Answer:
Greatest Common Factor of 6801 and 6802 = 1
Step 1: Find the prime factorization of 6801
6801 = 3 x 2267
Step 2: Find the prime factorization of 6802
6802 = 2 x 19 x 179
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 6801 and 6802 is 1