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 4983, 4987 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4983 and 4987 is 1.
GCF(4983,4987) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4983
3 | 4983 |
11 | 1661 |
151 | 151 |
1 |
Prime factors of 4983 are 3,11,151. Prime factorization of 4983 in exponential form is:
4983 = 31×111×1511
Prime Factorization of 4987
4987 | 4987 |
1 |
Prime factors of 4987 are 4987. Prime factorization of 4987 in exponential form is:
4987 = 49871
∴ So by taking common prime factors GCF of 4983 and 4987 is 1
Factors of 4983
List of positive integer factors of 4983 that divides 4983 without a remainder.
1,3,11,33,151,453,1661,4983
Factors of 4987
List of positive integer factors of 4987 that divides 4987 without a remainder.
1,4987
Greatest Common Factor
We found the factors and prime factorization of 4983 and 4987. The biggest common factor number is the GCF number.
So the greatest common factor 4983 and 4987 is 1.
Also check out the Least Common Multiple of 4983 and 4987
(i) The GCF of 4983 and 4987 is associative
GCF of 4983 and 4987 = GCF of 4987 and 4983
1. What is the GCF of 4983 and 4987?
Answer: GCF of 4983 and 4987 is 1.
2. What are the Factors of 4983?
Answer: Factors of 4983 are 1, 3, 11, 33, 151, 453, 1661, 4983. There are 8 integers that are factors of 4983. The greatest factor of 4983 is 4983.
3. What are the Factors of 4987?
Answer: Factors of 4987 are 1, 4987. There are 2 integers that are factors of 4987. The greatest factor of 4987 is 4987.
4. How to Find the GCF of 4983 and 4987?
Answer:
Greatest Common Factor of 4983 and 4987 = 1
Step 1: Find the prime factorization of 4983
4983 = 3 x 11 x 151
Step 2: Find the prime factorization of 4987
4987 = 4987
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 4983 and 4987 is 1