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 5089, 5091 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5089 and 5091 is 1.
GCF(5089,5091) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5089
7 | 5089 |
727 | 727 |
1 |
Prime factors of 5089 are 7,727. Prime factorization of 5089 in exponential form is:
5089 = 71×7271
Prime Factorization of 5091
3 | 5091 |
1697 | 1697 |
1 |
Prime factors of 5091 are 3,1697. Prime factorization of 5091 in exponential form is:
5091 = 31×16971
∴ So by taking common prime factors GCF of 5089 and 5091 is 1
Factors of 5089
List of positive integer factors of 5089 that divides 5089 without a remainder.
1,7,727,5089
Factors of 5091
List of positive integer factors of 5091 that divides 5091 without a remainder.
1,3,1697,5091
Greatest Common Factor
We found the factors and prime factorization of 5089 and 5091. The biggest common factor number is the GCF number.
So the greatest common factor 5089 and 5091 is 1.
Also check out the Least Common Multiple of 5089 and 5091
(i) The GCF of 5089 and 5091 is associative
GCF of 5089 and 5091 = GCF of 5091 and 5089
1. What is the GCF of 5089 and 5091?
Answer: GCF of 5089 and 5091 is 1.
2. What are the Factors of 5089?
Answer: Factors of 5089 are 1, 7, 727, 5089. There are 4 integers that are factors of 5089. The greatest factor of 5089 is 5089.
3. What are the Factors of 5091?
Answer: Factors of 5091 are 1, 3, 1697, 5091. There are 4 integers that are factors of 5091. The greatest factor of 5091 is 5091.
4. How to Find the GCF of 5089 and 5091?
Answer:
Greatest Common Factor of 5089 and 5091 = 1
Step 1: Find the prime factorization of 5089
5089 = 7 x 727
Step 2: Find the prime factorization of 5091
5091 = 3 x 1697
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 5089 and 5091 is 1