Greatest Common Factor of 848 and 853

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

Greatest common factor (GCF) of 848 and 853 is 1.

GCF(848,853) = 1

GCF of 848 and 853

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

GCF of:
and

Greatest Common Factor of 848 and 853

GCF of 848 and 853 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 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 848 and 853 is 1

Greatest Common Factor of 848 and 853 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 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 848 and 853. The biggest common factor number is the GCF number.
So the greatest common factor 848 and 853 is 1.

Also check out the Least Common Multiple of 848 and 853

Properties of GCF 848 and 853

(i) The GCF of 848 and 853 is associative

GCF of 848 and 853 = GCF of 853 and 848

Related Greatest Common Factor of 848

Related Greatest Common Factor of 853

Frequently Asked Questions on GCF of 848 and 853

1. What is the GCF of 848 and 853?

Answer: GCF of 848 and 853 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 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 848 and 853?

Answer:

Greatest Common Factor of 848 and 853 = 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 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 848 and 853 is 1