Greatest Common Factor of 845 and 851
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 845, 851 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 845 and 851 is 1.
GCF(845,851) = 1
GCF of 845 and 851
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 845 and 851 by prime factorization method
- Greatest Common Factor of 845 and 851 by matching factors method
GCF of 845 and 851 is 1
Prime Factorization of 845
| 5 | 845 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 845 are 5,13. Prime factorization of 845 in exponential form is:
845 = 51×132
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 845 and 851 is 1
Greatest Common Factor of 845 and 851 by matching factors method
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
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 845 and 851. The biggest common factor number is the GCF number.
So the greatest common factor 845 and 851 is 1.
Also check out the Least Common Multiple of 845 and 851
Properties of GCF 845 and 851
(i) The GCF of 845 and 851 is associative
GCF of 845 and 851 = GCF of 851 and 845
Related Greatest Common Factor of 845
Related Greatest Common Factor of 851
Frequently Asked Questions on GCF of 845 and 851
1. What is the GCF of 845 and 851?
Answer: GCF of 845 and 851 is 1.
2. What are the Factors of 845?
Answer: Factors of 845 are 1, 5, 13, 65, 169, 845. There are 6 integers that are factors of 845. The greatest factor of 845 is 845.
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 845 and 851?
Answer:
Greatest Common Factor of 845 and 851 = 1
Step 1: Find the prime factorization of 845
845 = 5 x 13 x 13
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 845 and 851 is 1