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 846, 851 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 846 and 851 is 1.
GCF(846,851) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 846
2 | 846 |
3 | 423 |
3 | 141 |
47 | 47 |
1 |
Prime factors of 846 are 2,3,47. Prime factorization of 846 in exponential form is:
846 = 21×32×471
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 846 and 851 is 1
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
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 846 and 851. The biggest common factor number is the GCF number.
So the greatest common factor 846 and 851 is 1.
Also check out the Least Common Multiple of 846 and 851
(i) The GCF of 846 and 851 is associative
GCF of 846 and 851 = GCF of 851 and 846
1. What is the GCF of 846 and 851?
Answer: GCF of 846 and 851 is 1.
2. What are the Factors of 846?
Answer: Factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846. There are 12 integers that are factors of 846. The greatest factor of 846 is 846.
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 846 and 851?
Answer:
Greatest Common Factor of 846 and 851 = 1
Step 1: Find the prime factorization of 846
846 = 2 x 3 x 3 x 47
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 846 and 851 is 1