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 7737, 7744 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7737 and 7744 is 1.
GCF(7737,7744) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7737
3 | 7737 |
2579 | 2579 |
1 |
Prime factors of 7737 are 3,2579. Prime factorization of 7737 in exponential form is:
7737 = 31×25791
Prime Factorization of 7744
2 | 7744 |
2 | 3872 |
2 | 1936 |
2 | 968 |
2 | 484 |
2 | 242 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 7744 are 2,11. Prime factorization of 7744 in exponential form is:
7744 = 26×112
∴ So by taking common prime factors GCF of 7737 and 7744 is 1
Factors of 7737
List of positive integer factors of 7737 that divides 7737 without a remainder.
1,3,2579,7737
Factors of 7744
List of positive integer factors of 7744 that divides 7744 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,121,176,242,352,484,704,968,1936,3872,7744
Greatest Common Factor
We found the factors and prime factorization of 7737 and 7744. The biggest common factor number is the GCF number.
So the greatest common factor 7737 and 7744 is 1.
Also check out the Least Common Multiple of 7737 and 7744
(i) The GCF of 7737 and 7744 is associative
GCF of 7737 and 7744 = GCF of 7744 and 7737
1. What is the GCF of 7737 and 7744?
Answer: GCF of 7737 and 7744 is 1.
2. What are the Factors of 7737?
Answer: Factors of 7737 are 1, 3, 2579, 7737. There are 4 integers that are factors of 7737. The greatest factor of 7737 is 7737.
3. What are the Factors of 7744?
Answer: Factors of 7744 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1936, 3872, 7744. There are 21 integers that are factors of 7744. The greatest factor of 7744 is 7744.
4. How to Find the GCF of 7737 and 7744?
Answer:
Greatest Common Factor of 7737 and 7744 = 1
Step 1: Find the prime factorization of 7737
7737 = 3 x 2579
Step 2: Find the prime factorization of 7744
7744 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 11
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 7737 and 7744 is 1