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, 2853 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2852 and 2853 is 1.
GCF(2852,2853) = 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 2853
3 | 2853 |
3 | 951 |
317 | 317 |
1 |
Prime factors of 2853 are 3,317. Prime factorization of 2853 in exponential form is:
2853 = 32×3171
∴ So by taking common prime factors GCF of 2852 and 2853 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 2853
List of positive integer factors of 2853 that divides 2853 without a remainder.
1,3,9,317,951,2853
Greatest Common Factor
We found the factors and prime factorization of 2852 and 2853. The biggest common factor number is the GCF number.
So the greatest common factor 2852 and 2853 is 1.
Also check out the Least Common Multiple of 2852 and 2853
(i) The GCF of 2852 and 2853 is associative
GCF of 2852 and 2853 = GCF of 2853 and 2852
1. What is the GCF of 2852 and 2853?
Answer: GCF of 2852 and 2853 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 2853?
Answer: Factors of 2853 are 1, 3, 9, 317, 951, 2853. There are 6 integers that are factors of 2853. The greatest factor of 2853 is 2853.
4. How to Find the GCF of 2852 and 2853?
Answer:
Greatest Common Factor of 2852 and 2853 = 1
Step 1: Find the prime factorization of 2852
2852 = 2 x 2 x 23 x 31
Step 2: Find the prime factorization of 2853
2853 = 3 x 3 x 317
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 2853 is 1