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, 7746 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7738 and 7746 is 2.
GCF(7738,7746) = 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 7746
2 | 7746 |
3 | 3873 |
1291 | 1291 |
1 |
Prime factors of 7746 are 2,3,1291. Prime factorization of 7746 in exponential form is:
7746 = 21×31×12911
∴ So by taking common prime factors GCF of 7738 and 7746 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 7746
List of positive integer factors of 7746 that divides 7746 without a remainder.
1,2,3,6,1291,2582,3873,7746
Greatest Common Factor
We found the factors and prime factorization of 7738 and 7746. The biggest common factor number is the GCF number.
So the greatest common factor 7738 and 7746 is 2.
Also check out the Least Common Multiple of 7738 and 7746
(i) The GCF of 7738 and 7746 is associative
GCF of 7738 and 7746 = GCF of 7746 and 7738
1. What is the GCF of 7738 and 7746?
Answer: GCF of 7738 and 7746 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 7746?
Answer: Factors of 7746 are 1, 2, 3, 6, 1291, 2582, 3873, 7746. There are 8 integers that are factors of 7746. The greatest factor of 7746 is 7746.
4. How to Find the GCF of 7738 and 7746?
Answer:
Greatest Common Factor of 7738 and 7746 = 2
Step 1: Find the prime factorization of 7738
7738 = 2 x 53 x 73
Step 2: Find the prime factorization of 7746
7746 = 2 x 3 x 1291
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 7746 is 2