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 848, 854 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 848 and 854 is 2.
GCF(848,854) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 848
2 | 848 |
2 | 424 |
2 | 212 |
2 | 106 |
53 | 53 |
1 |
Prime factors of 848 are 2,53. Prime factorization of 848 in exponential form is:
848 = 24×531
Prime Factorization of 854
2 | 854 |
7 | 427 |
61 | 61 |
1 |
Prime factors of 854 are 2,7,61. Prime factorization of 854 in exponential form is:
854 = 21×71×611
∴ So by taking common prime factors GCF of 848 and 854 is 2
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors and prime factorization of 848 and 854. The biggest common factor number is the GCF number.
So the greatest common factor 848 and 854 is 2.
Also check out the Least Common Multiple of 848 and 854
(i) The GCF of 848 and 854 is associative
GCF of 848 and 854 = GCF of 854 and 848
1. What is the GCF of 848 and 854?
Answer: GCF of 848 and 854 is 2.
2. What are the Factors of 848?
Answer: Factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848. There are 10 integers that are factors of 848. The greatest factor of 848 is 848.
3. What are the Factors of 854?
Answer: Factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854. There are 8 integers that are factors of 854. The greatest factor of 854 is 854.
4. How to Find the GCF of 848 and 854?
Answer:
Greatest Common Factor of 848 and 854 = 2
Step 1: Find the prime factorization of 848
848 = 2 x 2 x 2 x 2 x 53
Step 2: Find the prime factorization of 854
854 = 2 x 7 x 61
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 848 and 854 is 2