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 2842, 2847 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2842 and 2847 is 1.
GCF(2842,2847) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2842
2 | 2842 |
7 | 1421 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 2842 are 2,7,29. Prime factorization of 2842 in exponential form is:
2842 = 21×72×291
Prime Factorization of 2847
3 | 2847 |
13 | 949 |
73 | 73 |
1 |
Prime factors of 2847 are 3,13,73. Prime factorization of 2847 in exponential form is:
2847 = 31×131×731
∴ So by taking common prime factors GCF of 2842 and 2847 is 1
Factors of 2842
List of positive integer factors of 2842 that divides 2842 without a remainder.
1,2,7,14,29,49,58,98,203,406,1421,2842
Factors of 2847
List of positive integer factors of 2847 that divides 2847 without a remainder.
1,3,13,39,73,219,949,2847
Greatest Common Factor
We found the factors and prime factorization of 2842 and 2847. The biggest common factor number is the GCF number.
So the greatest common factor 2842 and 2847 is 1.
Also check out the Least Common Multiple of 2842 and 2847
(i) The GCF of 2842 and 2847 is associative
GCF of 2842 and 2847 = GCF of 2847 and 2842
1. What is the GCF of 2842 and 2847?
Answer: GCF of 2842 and 2847 is 1.
2. What are the Factors of 2842?
Answer: Factors of 2842 are 1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842. There are 12 integers that are factors of 2842. The greatest factor of 2842 is 2842.
3. What are the Factors of 2847?
Answer: Factors of 2847 are 1, 3, 13, 39, 73, 219, 949, 2847. There are 8 integers that are factors of 2847. The greatest factor of 2847 is 2847.
4. How to Find the GCF of 2842 and 2847?
Answer:
Greatest Common Factor of 2842 and 2847 = 1
Step 1: Find the prime factorization of 2842
2842 = 2 x 7 x 7 x 29
Step 2: Find the prime factorization of 2847
2847 = 3 x 13 x 73
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 2842 and 2847 is 1