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 2986, 2989 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2986 and 2989 is 1.
GCF(2986,2989) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2986
2 | 2986 |
1493 | 1493 |
1 |
Prime factors of 2986 are 2,1493. Prime factorization of 2986 in exponential form is:
2986 = 21×14931
Prime Factorization of 2989
7 | 2989 |
7 | 427 |
61 | 61 |
1 |
Prime factors of 2989 are 7,61. Prime factorization of 2989 in exponential form is:
2989 = 72×611
∴ So by taking common prime factors GCF of 2986 and 2989 is 1
Factors of 2986
List of positive integer factors of 2986 that divides 2986 without a remainder.
1,2,1493,2986
Factors of 2989
List of positive integer factors of 2989 that divides 2989 without a remainder.
1,7,49,61,427,2989
Greatest Common Factor
We found the factors and prime factorization of 2986 and 2989. The biggest common factor number is the GCF number.
So the greatest common factor 2986 and 2989 is 1.
Also check out the Least Common Multiple of 2986 and 2989
(i) The GCF of 2986 and 2989 is associative
GCF of 2986 and 2989 = GCF of 2989 and 2986
1. What is the GCF of 2986 and 2989?
Answer: GCF of 2986 and 2989 is 1.
2. What are the Factors of 2986?
Answer: Factors of 2986 are 1, 2, 1493, 2986. There are 4 integers that are factors of 2986. The greatest factor of 2986 is 2986.
3. What are the Factors of 2989?
Answer: Factors of 2989 are 1, 7, 49, 61, 427, 2989. There are 6 integers that are factors of 2989. The greatest factor of 2989 is 2989.
4. How to Find the GCF of 2986 and 2989?
Answer:
Greatest Common Factor of 2986 and 2989 = 1
Step 1: Find the prime factorization of 2986
2986 = 2 x 1493
Step 2: Find the prime factorization of 2989
2989 = 7 x 7 x 61
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 2986 and 2989 is 1