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 2987, 2990 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2987 and 2990 is 1.
GCF(2987,2990) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2987
29 | 2987 |
103 | 103 |
1 |
Prime factors of 2987 are 29,103. Prime factorization of 2987 in exponential form is:
2987 = 291×1031
Prime Factorization of 2990
2 | 2990 |
5 | 1495 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 2990 are 2,5,13,23. Prime factorization of 2990 in exponential form is:
2990 = 21×51×131×231
∴ So by taking common prime factors GCF of 2987 and 2990 is 1
Factors of 2987
List of positive integer factors of 2987 that divides 2987 without a remainder.
1,29,103,2987
Factors of 2990
List of positive integer factors of 2990 that divides 2990 without a remainder.
1,2,5,10,13,23,26,46,65,115,130,230,299,598,1495,2990
Greatest Common Factor
We found the factors and prime factorization of 2987 and 2990. The biggest common factor number is the GCF number.
So the greatest common factor 2987 and 2990 is 1.
Also check out the Least Common Multiple of 2987 and 2990
(i) The GCF of 2987 and 2990 is associative
GCF of 2987 and 2990 = GCF of 2990 and 2987
1. What is the GCF of 2987 and 2990?
Answer: GCF of 2987 and 2990 is 1.
2. What are the Factors of 2987?
Answer: Factors of 2987 are 1, 29, 103, 2987. There are 4 integers that are factors of 2987. The greatest factor of 2987 is 2987.
3. What are the Factors of 2990?
Answer: Factors of 2990 are 1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 598, 1495, 2990. There are 16 integers that are factors of 2990. The greatest factor of 2990 is 2990.
4. How to Find the GCF of 2987 and 2990?
Answer:
Greatest Common Factor of 2987 and 2990 = 1
Step 1: Find the prime factorization of 2987
2987 = 29 x 103
Step 2: Find the prime factorization of 2990
2990 = 2 x 5 x 13 x 23
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 2987 and 2990 is 1