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 2991, 2998 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2991 and 2998 is 1.
GCF(2991,2998) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2991
3 | 2991 |
997 | 997 |
1 |
Prime factors of 2991 are 3,997. Prime factorization of 2991 in exponential form is:
2991 = 31×9971
Prime Factorization of 2998
2 | 2998 |
1499 | 1499 |
1 |
Prime factors of 2998 are 2,1499. Prime factorization of 2998 in exponential form is:
2998 = 21×14991
∴ So by taking common prime factors GCF of 2991 and 2998 is 1
Factors of 2991
List of positive integer factors of 2991 that divides 2991 without a remainder.
1,3,997,2991
Factors of 2998
List of positive integer factors of 2998 that divides 2998 without a remainder.
1,2,1499,2998
Greatest Common Factor
We found the factors and prime factorization of 2991 and 2998. The biggest common factor number is the GCF number.
So the greatest common factor 2991 and 2998 is 1.
Also check out the Least Common Multiple of 2991 and 2998
(i) The GCF of 2991 and 2998 is associative
GCF of 2991 and 2998 = GCF of 2998 and 2991
1. What is the GCF of 2991 and 2998?
Answer: GCF of 2991 and 2998 is 1.
2. What are the Factors of 2991?
Answer: Factors of 2991 are 1, 3, 997, 2991. There are 4 integers that are factors of 2991. The greatest factor of 2991 is 2991.
3. What are the Factors of 2998?
Answer: Factors of 2998 are 1, 2, 1499, 2998. There are 4 integers that are factors of 2998. The greatest factor of 2998 is 2998.
4. How to Find the GCF of 2991 and 2998?
Answer:
Greatest Common Factor of 2991 and 2998 = 1
Step 1: Find the prime factorization of 2991
2991 = 3 x 997
Step 2: Find the prime factorization of 2998
2998 = 2 x 1499
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 2991 and 2998 is 1