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 7383, 7386 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7383 and 7386 is 3.
GCF(7383,7386) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7383
3 | 7383 |
23 | 2461 |
107 | 107 |
1 |
Prime factors of 7383 are 3,23,107. Prime factorization of 7383 in exponential form is:
7383 = 31×231×1071
Prime Factorization of 7386
2 | 7386 |
3 | 3693 |
1231 | 1231 |
1 |
Prime factors of 7386 are 2,3,1231. Prime factorization of 7386 in exponential form is:
7386 = 21×31×12311
∴ So by taking common prime factors GCF of 7383 and 7386 is 3
Factors of 7383
List of positive integer factors of 7383 that divides 7383 without a remainder.
1,3,23,69,107,321,2461,7383
Factors of 7386
List of positive integer factors of 7386 that divides 7386 without a remainder.
1,2,3,6,1231,2462,3693,7386
Greatest Common Factor
We found the factors and prime factorization of 7383 and 7386. The biggest common factor number is the GCF number.
So the greatest common factor 7383 and 7386 is 3.
Also check out the Least Common Multiple of 7383 and 7386
(i) The GCF of 7383 and 7386 is associative
GCF of 7383 and 7386 = GCF of 7386 and 7383
1. What is the GCF of 7383 and 7386?
Answer: GCF of 7383 and 7386 is 3.
2. What are the Factors of 7383?
Answer: Factors of 7383 are 1, 3, 23, 69, 107, 321, 2461, 7383. There are 8 integers that are factors of 7383. The greatest factor of 7383 is 7383.
3. What are the Factors of 7386?
Answer: Factors of 7386 are 1, 2, 3, 6, 1231, 2462, 3693, 7386. There are 8 integers that are factors of 7386. The greatest factor of 7386 is 7386.
4. How to Find the GCF of 7383 and 7386?
Answer:
Greatest Common Factor of 7383 and 7386 = 3
Step 1: Find the prime factorization of 7383
7383 = 3 x 23 x 107
Step 2: Find the prime factorization of 7386
7386 = 2 x 3 x 1231
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 7383 and 7386 is 3