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 4887, 4892 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4887 and 4892 is 1.
GCF(4887,4892) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4887
3 | 4887 |
3 | 1629 |
3 | 543 |
181 | 181 |
1 |
Prime factors of 4887 are 3,181. Prime factorization of 4887 in exponential form is:
4887 = 33×1811
Prime Factorization of 4892
2 | 4892 |
2 | 2446 |
1223 | 1223 |
1 |
Prime factors of 4892 are 2,1223. Prime factorization of 4892 in exponential form is:
4892 = 22×12231
∴ So by taking common prime factors GCF of 4887 and 4892 is 1
Factors of 4887
List of positive integer factors of 4887 that divides 4887 without a remainder.
1,3,9,27,181,543,1629,4887
Factors of 4892
List of positive integer factors of 4892 that divides 4892 without a remainder.
1,2,4,1223,2446,4892
Greatest Common Factor
We found the factors and prime factorization of 4887 and 4892. The biggest common factor number is the GCF number.
So the greatest common factor 4887 and 4892 is 1.
Also check out the Least Common Multiple of 4887 and 4892
(i) The GCF of 4887 and 4892 is associative
GCF of 4887 and 4892 = GCF of 4892 and 4887
1. What is the GCF of 4887 and 4892?
Answer: GCF of 4887 and 4892 is 1.
2. What are the Factors of 4887?
Answer: Factors of 4887 are 1, 3, 9, 27, 181, 543, 1629, 4887. There are 8 integers that are factors of 4887. The greatest factor of 4887 is 4887.
3. What are the Factors of 4892?
Answer: Factors of 4892 are 1, 2, 4, 1223, 2446, 4892. There are 6 integers that are factors of 4892. The greatest factor of 4892 is 4892.
4. How to Find the GCF of 4887 and 4892?
Answer:
Greatest Common Factor of 4887 and 4892 = 1
Step 1: Find the prime factorization of 4887
4887 = 3 x 3 x 3 x 181
Step 2: Find the prime factorization of 4892
4892 = 2 x 2 x 1223
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 4887 and 4892 is 1