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, 4787 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4782 and 4787 is 1.
GCF(4782,4787) = 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 4787
4787 | 4787 |
1 |
Prime factors of 4787 are 4787. Prime factorization of 4787 in exponential form is:
4787 = 47871
∴ So by taking common prime factors GCF of 4782 and 4787 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 4787
List of positive integer factors of 4787 that divides 4787 without a remainder.
1,4787
Greatest Common Factor
We found the factors and prime factorization of 4782 and 4787. The biggest common factor number is the GCF number.
So the greatest common factor 4782 and 4787 is 1.
Also check out the Least Common Multiple of 4782 and 4787
(i) The GCF of 4782 and 4787 is associative
GCF of 4782 and 4787 = GCF of 4787 and 4782
1. What is the GCF of 4782 and 4787?
Answer: GCF of 4782 and 4787 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 4787?
Answer: Factors of 4787 are 1, 4787. There are 2 integers that are factors of 4787. The greatest factor of 4787 is 4787.
4. How to Find the GCF of 4782 and 4787?
Answer:
Greatest Common Factor of 4782 and 4787 = 1
Step 1: Find the prime factorization of 4782
4782 = 2 x 3 x 797
Step 2: Find the prime factorization of 4787
4787 = 4787
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 4787 is 1