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 4081, 4087 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4081 and 4087 is 1.
GCF(4081,4087) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4081
7 | 4081 |
11 | 583 |
53 | 53 |
1 |
Prime factors of 4081 are 7,11,53. Prime factorization of 4081 in exponential form is:
4081 = 71×111×531
Prime Factorization of 4087
61 | 4087 |
67 | 67 |
1 |
Prime factors of 4087 are 61,67. Prime factorization of 4087 in exponential form is:
4087 = 611×671
∴ So by taking common prime factors GCF of 4081 and 4087 is 1
Factors of 4081
List of positive integer factors of 4081 that divides 4081 without a remainder.
1,7,11,53,77,371,583,4081
Factors of 4087
List of positive integer factors of 4087 that divides 4087 without a remainder.
1,61,67,4087
Greatest Common Factor
We found the factors and prime factorization of 4081 and 4087. The biggest common factor number is the GCF number.
So the greatest common factor 4081 and 4087 is 1.
Also check out the Least Common Multiple of 4081 and 4087
(i) The GCF of 4081 and 4087 is associative
GCF of 4081 and 4087 = GCF of 4087 and 4081
1. What is the GCF of 4081 and 4087?
Answer: GCF of 4081 and 4087 is 1.
2. What are the Factors of 4081?
Answer: Factors of 4081 are 1, 7, 11, 53, 77, 371, 583, 4081. There are 8 integers that are factors of 4081. The greatest factor of 4081 is 4081.
3. What are the Factors of 4087?
Answer: Factors of 4087 are 1, 61, 67, 4087. There are 4 integers that are factors of 4087. The greatest factor of 4087 is 4087.
4. How to Find the GCF of 4081 and 4087?
Answer:
Greatest Common Factor of 4081 and 4087 = 1
Step 1: Find the prime factorization of 4081
4081 = 7 x 11 x 53
Step 2: Find the prime factorization of 4087
4087 = 61 x 67
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 4081 and 4087 is 1