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 7738, 7744 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7738 and 7744 is 2.
GCF(7738,7744) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7738
2 | 7738 |
53 | 3869 |
73 | 73 |
1 |
Prime factors of 7738 are 2,53,73. Prime factorization of 7738 in exponential form is:
7738 = 21×531×731
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 7738 and 7744 is 2
Factors of 7738
List of positive integer factors of 7738 that divides 7738 without a remainder.
1,2,53,73,106,146,3869,7738
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 7738 and 7744. The biggest common factor number is the GCF number.
So the greatest common factor 7738 and 7744 is 2.
Also check out the Least Common Multiple of 7738 and 7744
(i) The GCF of 7738 and 7744 is associative
GCF of 7738 and 7744 = GCF of 7744 and 7738
1. What is the GCF of 7738 and 7744?
Answer: GCF of 7738 and 7744 is 2.
2. What are the Factors of 7738?
Answer: Factors of 7738 are 1, 2, 53, 73, 106, 146, 3869, 7738. There are 8 integers that are factors of 7738. The greatest factor of 7738 is 7738.
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 7738 and 7744?
Answer:
Greatest Common Factor of 7738 and 7744 = 2
Step 1: Find the prime factorization of 7738
7738 = 2 x 53 x 73
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 = 2
Step 4: Therefore, the greatest common factor of 7738 and 7744 is 2