Greatest Common Factor of 852 and 854

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 852, 854 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 852 and 854 is 2.

GCF(852,854) = 2

GCF of 852 and 854

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

GCF of:
and

Greatest Common Factor of 852 and 854

GCF of 852 and 854 is 2

Prime Factorization of 852


2 852
2 426
3 213
71 71
1

Prime factors of 852 are 2,3,71. Prime factorization of 852 in exponential form is:

852 = 22×31×711

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 852 and 854 is 2

Greatest Common Factor of 852 and 854 by matching factors method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

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 852 and 854. The biggest common factor number is the GCF number.
So the greatest common factor 852 and 854 is 2.

Also check out the Least Common Multiple of 852 and 854

Properties of GCF 852 and 854

(i) The GCF of 852 and 854 is associative

GCF of 852 and 854 = GCF of 854 and 852

Related Greatest Common Factor of 852

Related Greatest Common Factor of 854

Frequently Asked Questions on GCF of 852 and 854

1. What is the GCF of 852 and 854?

Answer: GCF of 852 and 854 is 2.

2. What are the Factors of 852?

Answer: Factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852. There are 12 integers that are factors of 852. The greatest factor of 852 is 852.

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 852 and 854?

Answer:

Greatest Common Factor of 852 and 854 = 2

Step 1: Find the prime factorization of 852

852 = 2 x 2 x 3 x 71

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 852 and 854 is 2