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 7787, 7794 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7787 and 7794 is 1.
GCF(7787,7794) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7787
13 | 7787 |
599 | 599 |
1 |
Prime factors of 7787 are 13,599. Prime factorization of 7787 in exponential form is:
7787 = 131×5991
Prime Factorization of 7794
2 | 7794 |
3 | 3897 |
3 | 1299 |
433 | 433 |
1 |
Prime factors of 7794 are 2,3,433. Prime factorization of 7794 in exponential form is:
7794 = 21×32×4331
∴ So by taking common prime factors GCF of 7787 and 7794 is 1
Factors of 7787
List of positive integer factors of 7787 that divides 7787 without a remainder.
1,13,599,7787
Factors of 7794
List of positive integer factors of 7794 that divides 7794 without a remainder.
1,2,3,6,9,18,433,866,1299,2598,3897,7794
Greatest Common Factor
We found the factors and prime factorization of 7787 and 7794. The biggest common factor number is the GCF number.
So the greatest common factor 7787 and 7794 is 1.
Also check out the Least Common Multiple of 7787 and 7794
(i) The GCF of 7787 and 7794 is associative
GCF of 7787 and 7794 = GCF of 7794 and 7787
1. What is the GCF of 7787 and 7794?
Answer: GCF of 7787 and 7794 is 1.
2. What are the Factors of 7787?
Answer: Factors of 7787 are 1, 13, 599, 7787. There are 4 integers that are factors of 7787. The greatest factor of 7787 is 7787.
3. What are the Factors of 7794?
Answer: Factors of 7794 are 1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897, 7794. There are 12 integers that are factors of 7794. The greatest factor of 7794 is 7794.
4. How to Find the GCF of 7787 and 7794?
Answer:
Greatest Common Factor of 7787 and 7794 = 1
Step 1: Find the prime factorization of 7787
7787 = 13 x 599
Step 2: Find the prime factorization of 7794
7794 = 2 x 3 x 3 x 433
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 7787 and 7794 is 1