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 849, 851 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 849 and 851 is 1.
GCF(849,851) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 849
3 | 849 |
283 | 283 |
1 |
Prime factors of 849 are 3,283. Prime factorization of 849 in exponential form is:
849 = 31×2831
Prime Factorization of 851
23 | 851 |
37 | 37 |
1 |
Prime factors of 851 are 23,37. Prime factorization of 851 in exponential form is:
851 = 231×371
∴ So by taking common prime factors GCF of 849 and 851 is 1
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Greatest Common Factor
We found the factors and prime factorization of 849 and 851. The biggest common factor number is the GCF number.
So the greatest common factor 849 and 851 is 1.
Also check out the Least Common Multiple of 849 and 851
(i) The GCF of 849 and 851 is associative
GCF of 849 and 851 = GCF of 851 and 849
1. What is the GCF of 849 and 851?
Answer: GCF of 849 and 851 is 1.
2. What are the Factors of 849?
Answer: Factors of 849 are 1, 3, 283, 849. There are 4 integers that are factors of 849. The greatest factor of 849 is 849.
3. What are the Factors of 851?
Answer: Factors of 851 are 1, 23, 37, 851. There are 4 integers that are factors of 851. The greatest factor of 851 is 851.
4. How to Find the GCF of 849 and 851?
Answer:
Greatest Common Factor of 849 and 851 = 1
Step 1: Find the prime factorization of 849
849 = 3 x 283
Step 2: Find the prime factorization of 851
851 = 23 x 37
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 849 and 851 is 1