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 2866, 2872 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2866 and 2872 is 2.
GCF(2866,2872) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2866
2 | 2866 |
1433 | 1433 |
1 |
Prime factors of 2866 are 2,1433. Prime factorization of 2866 in exponential form is:
2866 = 21×14331
Prime Factorization of 2872
2 | 2872 |
2 | 1436 |
2 | 718 |
359 | 359 |
1 |
Prime factors of 2872 are 2,359. Prime factorization of 2872 in exponential form is:
2872 = 23×3591
∴ So by taking common prime factors GCF of 2866 and 2872 is 2
Factors of 2866
List of positive integer factors of 2866 that divides 2866 without a remainder.
1,2,1433,2866
Factors of 2872
List of positive integer factors of 2872 that divides 2872 without a remainder.
1,2,4,8,359,718,1436,2872
Greatest Common Factor
We found the factors and prime factorization of 2866 and 2872. The biggest common factor number is the GCF number.
So the greatest common factor 2866 and 2872 is 2.
Also check out the Least Common Multiple of 2866 and 2872
(i) The GCF of 2866 and 2872 is associative
GCF of 2866 and 2872 = GCF of 2872 and 2866
1. What is the GCF of 2866 and 2872?
Answer: GCF of 2866 and 2872 is 2.
2. What are the Factors of 2866?
Answer: Factors of 2866 are 1, 2, 1433, 2866. There are 4 integers that are factors of 2866. The greatest factor of 2866 is 2866.
3. What are the Factors of 2872?
Answer: Factors of 2872 are 1, 2, 4, 8, 359, 718, 1436, 2872. There are 8 integers that are factors of 2872. The greatest factor of 2872 is 2872.
4. How to Find the GCF of 2866 and 2872?
Answer:
Greatest Common Factor of 2866 and 2872 = 2
Step 1: Find the prime factorization of 2866
2866 = 2 x 1433
Step 2: Find the prime factorization of 2872
2872 = 2 x 2 x 2 x 359
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2866 and 2872 is 2