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 7833, 7837 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7833 and 7837 is 1.
GCF(7833,7837) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7833
3 | 7833 |
7 | 2611 |
373 | 373 |
1 |
Prime factors of 7833 are 3,7,373. Prime factorization of 7833 in exponential form is:
7833 = 31×71×3731
Prime Factorization of 7837
17 | 7837 |
461 | 461 |
1 |
Prime factors of 7837 are 17,461. Prime factorization of 7837 in exponential form is:
7837 = 171×4611
∴ So by taking common prime factors GCF of 7833 and 7837 is 1
Factors of 7833
List of positive integer factors of 7833 that divides 7833 without a remainder.
1,3,7,21,373,1119,2611,7833
Factors of 7837
List of positive integer factors of 7837 that divides 7837 without a remainder.
1,17,461,7837
Greatest Common Factor
We found the factors and prime factorization of 7833 and 7837. The biggest common factor number is the GCF number.
So the greatest common factor 7833 and 7837 is 1.
Also check out the Least Common Multiple of 7833 and 7837
(i) The GCF of 7833 and 7837 is associative
GCF of 7833 and 7837 = GCF of 7837 and 7833
1. What is the GCF of 7833 and 7837?
Answer: GCF of 7833 and 7837 is 1.
2. What are the Factors of 7833?
Answer: Factors of 7833 are 1, 3, 7, 21, 373, 1119, 2611, 7833. There are 8 integers that are factors of 7833. The greatest factor of 7833 is 7833.
3. What are the Factors of 7837?
Answer: Factors of 7837 are 1, 17, 461, 7837. There are 4 integers that are factors of 7837. The greatest factor of 7837 is 7837.
4. How to Find the GCF of 7833 and 7837?
Answer:
Greatest Common Factor of 7833 and 7837 = 1
Step 1: Find the prime factorization of 7833
7833 = 3 x 7 x 373
Step 2: Find the prime factorization of 7837
7837 = 17 x 461
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 7833 and 7837 is 1