Greatest Common Factor of 848 and 855

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, 855 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 848 and 855 is 1.

GCF(848,855) = 1

GCF of 848 and 855

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 848 and 855

GCF of 848 and 855 is 1

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 855


3 855
3 285
5 95
19 19
1

Prime factors of 855 are 3,5,19. Prime factorization of 855 in exponential form is:

855 = 32×51×191

∴ So by taking common prime factors GCF of 848 and 855 is 1

Greatest Common Factor of 848 and 855 by matching factors method

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 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors and prime factorization of 848 and 855. The biggest common factor number is the GCF number.
So the greatest common factor 848 and 855 is 1.

Also check out the Least Common Multiple of 848 and 855

Properties of GCF 848 and 855

(i) The GCF of 848 and 855 is associative

GCF of 848 and 855 = GCF of 855 and 848

Frequently Asked Questions on GCF of 848 and 855

1. What is the GCF of 848 and 855?

Answer: GCF of 848 and 855 is 1.

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 855?

Answer: Factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855. There are 12 integers that are factors of 855. The greatest factor of 855 is 855.

4. How to Find the GCF of 848 and 855?

Answer:

Greatest Common Factor of 848 and 855 = 1

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 855

855 = 3 x 3 x 5 x 19

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 848 and 855 is 1