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, 853 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 846 and 853 is 1.
GCF(846,853) = 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 853
853 | 853 |
1 |
Prime factors of 853 are 853. Prime factorization of 853 in exponential form is:
853 = 8531
∴ So by taking common prime factors GCF of 846 and 853 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 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Greatest Common Factor
We found the factors and prime factorization of 846 and 853. The biggest common factor number is the GCF number.
So the greatest common factor 846 and 853 is 1.
Also check out the Least Common Multiple of 846 and 853
(i) The GCF of 846 and 853 is associative
GCF of 846 and 853 = GCF of 853 and 846
1. What is the GCF of 846 and 853?
Answer: GCF of 846 and 853 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 853?
Answer: Factors of 853 are 1, 853. There are 2 integers that are factors of 853. The greatest factor of 853 is 853.
4. How to Find the GCF of 846 and 853?
Answer:
Greatest Common Factor of 846 and 853 = 1
Step 1: Find the prime factorization of 846
846 = 2 x 3 x 3 x 47
Step 2: Find the prime factorization of 853
853 = 853
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 853 is 1