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 4782, 4789 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4782 and 4789 is 1.
GCF(4782,4789) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4782
2 | 4782 |
3 | 2391 |
797 | 797 |
1 |
Prime factors of 4782 are 2,3,797. Prime factorization of 4782 in exponential form is:
4782 = 21×31×7971
Prime Factorization of 4789
4789 | 4789 |
1 |
Prime factors of 4789 are 4789. Prime factorization of 4789 in exponential form is:
4789 = 47891
∴ So by taking common prime factors GCF of 4782 and 4789 is 1
Factors of 4782
List of positive integer factors of 4782 that divides 4782 without a remainder.
1,2,3,6,797,1594,2391,4782
Factors of 4789
List of positive integer factors of 4789 that divides 4789 without a remainder.
1,4789
Greatest Common Factor
We found the factors and prime factorization of 4782 and 4789. The biggest common factor number is the GCF number.
So the greatest common factor 4782 and 4789 is 1.
Also check out the Least Common Multiple of 4782 and 4789
(i) The GCF of 4782 and 4789 is associative
GCF of 4782 and 4789 = GCF of 4789 and 4782
1. What is the GCF of 4782 and 4789?
Answer: GCF of 4782 and 4789 is 1.
2. What are the Factors of 4782?
Answer: Factors of 4782 are 1, 2, 3, 6, 797, 1594, 2391, 4782. There are 8 integers that are factors of 4782. The greatest factor of 4782 is 4782.
3. What are the Factors of 4789?
Answer: Factors of 4789 are 1, 4789. There are 2 integers that are factors of 4789. The greatest factor of 4789 is 4789.
4. How to Find the GCF of 4782 and 4789?
Answer:
Greatest Common Factor of 4782 and 4789 = 1
Step 1: Find the prime factorization of 4782
4782 = 2 x 3 x 797
Step 2: Find the prime factorization of 4789
4789 = 4789
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 4782 and 4789 is 1