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 5081, 5082 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5081 and 5082 is 1.
GCF(5081,5082) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5081
5081 | 5081 |
1 |
Prime factors of 5081 are 5081. Prime factorization of 5081 in exponential form is:
5081 = 50811
Prime Factorization of 5082
2 | 5082 |
3 | 2541 |
7 | 847 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 5082 are 2.Prime factorization of 5082 in exponential form is:
5082 = 21×31×71×112
∴ So by taking common prime factors GCF of 5081 and 5082 is 1
Factors of 5081
List of positive integer factors of 5081 that divides 5081 without a remainder.
1,5081
Factors of 5082
List of positive integer factors of 5082 that divides 5082 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,121,154,231,242,363,462,726,847,1694,2541,5082
Greatest Common Factor
We found the factors and prime factorization of 5081 and 5082. The biggest common factor number is the GCF number.
So the greatest common factor 5081 and 5082 is 1.
Also check out the Least Common Multiple of 5081 and 5082
(i) The GCF of 5081 and 5082 is associative
GCF of 5081 and 5082 = GCF of 5082 and 5081
1. What is the GCF of 5081 and 5082?
Answer: GCF of 5081 and 5082 is 1.
2. What are the Factors of 5081?
Answer: Factors of 5081 are 1, 5081. There are 2 integers that are factors of 5081. The greatest factor of 5081 is 5081.
3. What are the Factors of 5082?
Answer: Factors of 5082 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082. There are 24 integers that are factors of 5082. The greatest factor of 5082 is 5082.
4. How to Find the GCF of 5081 and 5082?
Answer:
Greatest Common Factor of 5081 and 5082 = 1
Step 1: Find the prime factorization of 5081
5081 = 5081
Step 2: Find the prime factorization of 5082
5082 = 2 x 3 x 7 x 11 x 11
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 5081 and 5082 is 1