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 2852, 2857 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2852 and 2857 is 1.
GCF(2852,2857) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2852
2 | 2852 |
2 | 1426 |
23 | 713 |
31 | 31 |
1 |
Prime factors of 2852 are 2,23,31. Prime factorization of 2852 in exponential form is:
2852 = 22×231×311
Prime Factorization of 2857
2857 | 2857 |
1 |
Prime factors of 2857 are 2857. Prime factorization of 2857 in exponential form is:
2857 = 28571
∴ So by taking common prime factors GCF of 2852 and 2857 is 1
Factors of 2852
List of positive integer factors of 2852 that divides 2852 without a remainder.
1,2,4,23,31,46,62,92,124,713,1426,2852
Factors of 2857
List of positive integer factors of 2857 that divides 2857 without a remainder.
1,2857
Greatest Common Factor
We found the factors and prime factorization of 2852 and 2857. The biggest common factor number is the GCF number.
So the greatest common factor 2852 and 2857 is 1.
Also check out the Least Common Multiple of 2852 and 2857
(i) The GCF of 2852 and 2857 is associative
GCF of 2852 and 2857 = GCF of 2857 and 2852
1. What is the GCF of 2852 and 2857?
Answer: GCF of 2852 and 2857 is 1.
2. What are the Factors of 2852?
Answer: Factors of 2852 are 1, 2, 4, 23, 31, 46, 62, 92, 124, 713, 1426, 2852. There are 12 integers that are factors of 2852. The greatest factor of 2852 is 2852.
3. What are the Factors of 2857?
Answer: Factors of 2857 are 1, 2857. There are 2 integers that are factors of 2857. The greatest factor of 2857 is 2857.
4. How to Find the GCF of 2852 and 2857?
Answer:
Greatest Common Factor of 2852 and 2857 = 1
Step 1: Find the prime factorization of 2852
2852 = 2 x 2 x 23 x 31
Step 2: Find the prime factorization of 2857
2857 = 2857
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 2852 and 2857 is 1