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 2872, 2878 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2872 and 2878 is 2.
GCF(2872,2878) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2878
2 | 2878 |
1439 | 1439 |
1 |
Prime factors of 2878 are 2,1439. Prime factorization of 2878 in exponential form is:
2878 = 21×14391
∴ So by taking common prime factors GCF of 2872 and 2878 is 2
Factors of 2872
List of positive integer factors of 2872 that divides 2872 without a remainder.
1,2,4,8,359,718,1436,2872
Factors of 2878
List of positive integer factors of 2878 that divides 2878 without a remainder.
1,2,1439,2878
Greatest Common Factor
We found the factors and prime factorization of 2872 and 2878. The biggest common factor number is the GCF number.
So the greatest common factor 2872 and 2878 is 2.
Also check out the Least Common Multiple of 2872 and 2878
(i) The GCF of 2872 and 2878 is associative
GCF of 2872 and 2878 = GCF of 2878 and 2872
1. What is the GCF of 2872 and 2878?
Answer: GCF of 2872 and 2878 is 2.
2. 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.
3. What are the Factors of 2878?
Answer: Factors of 2878 are 1, 2, 1439, 2878. There are 4 integers that are factors of 2878. The greatest factor of 2878 is 2878.
4. How to Find the GCF of 2872 and 2878?
Answer:
Greatest Common Factor of 2872 and 2878 = 2
Step 1: Find the prime factorization of 2872
2872 = 2 x 2 x 2 x 359
Step 2: Find the prime factorization of 2878
2878 = 2 x 1439
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 2872 and 2878 is 2