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 68765, 68769 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 68765 and 68769 is 1.
GCF(68765,68769) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 68765
5 | 68765 |
17 | 13753 |
809 | 809 |
1 |
Prime factors of 68765 are 5,17,809. Prime factorization of 68765 in exponential form is:
68765 = 51×171×8091
Prime Factorization of 68769
3 | 68769 |
3 | 22923 |
3 | 7641 |
3 | 2547 |
3 | 849 |
283 | 283 |
1 |
Prime factors of 68769 are 3,283. Prime factorization of 68769 in exponential form is:
68769 = 35×2831
∴ So by taking common prime factors GCF of 68765 and 68769 is 1
Factors of 68765
List of positive integer factors of 68765 that divides 68765 without a remainder.
1,5,17,85,809,4045,13753,68765
Factors of 68769
List of positive integer factors of 68769 that divides 68769 without a remainder.
1,3,9,27,81,243,283,849,2547,7641,22923,68769
Greatest Common Factor
We found the factors and prime factorization of 68765 and 68769. The biggest common factor number is the GCF number.
So the greatest common factor 68765 and 68769 is 1.
Also check out the Least Common Multiple of 68765 and 68769
(i) The GCF of 68765 and 68769 is associative
GCF of 68765 and 68769 = GCF of 68769 and 68765
1. What is the GCF of 68765 and 68769?
Answer: GCF of 68765 and 68769 is 1.
2. What are the Factors of 68765?
Answer: Factors of 68765 are 1, 5, 17, 85, 809, 4045, 13753, 68765. There are 8 integers that are factors of 68765. The greatest factor of 68765 is 68765.
3. What are the Factors of 68769?
Answer: Factors of 68769 are 1, 3, 9, 27, 81, 243, 283, 849, 2547, 7641, 22923, 68769. There are 12 integers that are factors of 68769. The greatest factor of 68769 is 68769.
4. How to Find the GCF of 68765 and 68769?
Answer:
Greatest Common Factor of 68765 and 68769 = 1
Step 1: Find the prime factorization of 68765
68765 = 5 x 17 x 809
Step 2: Find the prime factorization of 68769
68769 = 3 x 3 x 3 x 3 x 3 x 283
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 68765 and 68769 is 1