Greatest Common Factor of 841 and 845
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 841, 845 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 841 and 845 is 1.
GCF(841,845) = 1
GCF of 841 and 845
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 841 and 845 by prime factorization method
- Greatest Common Factor of 841 and 845 by matching factors method
GCF of 841 and 845 is 1
Prime Factorization of 841
| 29 | 841 |
| 29 | 29 |
| 1 |
Prime factors of 841 are 29. Prime factorization of 841 in exponential form is:
841 = 292
Prime Factorization of 845
| 5 | 845 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 845 are 5.Prime factorization of 845 in exponential form is:
845 = 51×132
∴ So by taking common prime factors GCF of 841 and 845 is 1
Greatest Common Factor of 841 and 845 by matching factors method
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Greatest Common Factor
We found the factors and prime factorization of 841 and 845. The biggest common factor number is the GCF number.
So the greatest common factor 841 and 845 is 1.
Also check out the Least Common Multiple of 841 and 845
Properties of GCF 841 and 845
(i) The GCF of 841 and 845 is associative
GCF of 841 and 845 = GCF of 845 and 841
Related Greatest Common Factor of 841
Related Greatest Common Factor of 845
Frequently Asked Questions on GCF of 841 and 845
1. What is the GCF of 841 and 845?
Answer: GCF of 841 and 845 is 1.
2. What are the Factors of 841?
Answer: Factors of 841 are 1, 29, 841. There are 3 integers that are factors of 841. The greatest factor of 841 is 841.
3. 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.
4. How to Find the GCF of 841 and 845?
Answer:
Greatest Common Factor of 841 and 845 = 1
Step 1: Find the prime factorization of 841
841 = 29 x 29
Step 2: Find the prime factorization of 845
845 = 5 x 13 x 13
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 841 and 845 is 1