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, 7387 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7383 and 7387 is 1.
GCF(7383,7387) = 1
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 7387
83 | 7387 |
89 | 89 |
1 |
Prime factors of 7387 are 83,89. Prime factorization of 7387 in exponential form is:
7387 = 831×891
∴ So by taking common prime factors GCF of 7383 and 7387 is 1
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 7387
List of positive integer factors of 7387 that divides 7387 without a remainder.
1,83,89,7387
Greatest Common Factor
We found the factors and prime factorization of 7383 and 7387. The biggest common factor number is the GCF number.
So the greatest common factor 7383 and 7387 is 1.
Also check out the Least Common Multiple of 7383 and 7387
(i) The GCF of 7383 and 7387 is associative
GCF of 7383 and 7387 = GCF of 7387 and 7383
1. What is the GCF of 7383 and 7387?
Answer: GCF of 7383 and 7387 is 1.
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 7387?
Answer: Factors of 7387 are 1, 83, 89, 7387. There are 4 integers that are factors of 7387. The greatest factor of 7387 is 7387.
4. How to Find the GCF of 7383 and 7387?
Answer:
Greatest Common Factor of 7383 and 7387 = 1
Step 1: Find the prime factorization of 7383
7383 = 3 x 23 x 107
Step 2: Find the prime factorization of 7387
7387 = 83 x 89
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 7383 and 7387 is 1