Greatest Common Factor of 854 and 860

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 854, 860 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 854 and 860 is 2.

GCF(854,860) = 2

GCF of 854 and 860

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

GCF of:
and

Greatest Common Factor of 854 and 860

GCF of 854 and 860 is 2

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

Prime Factorization of 860


2 860
2 430
5 215
43 43
1

Prime factors of 860 are 2,5,43. Prime factorization of 860 in exponential form is:

860 = 22×51×431

∴ So by taking common prime factors GCF of 854 and 860 is 2

Greatest Common Factor of 854 and 860 by matching factors method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors and prime factorization of 854 and 860. The biggest common factor number is the GCF number.
So the greatest common factor 854 and 860 is 2.

Also check out the Least Common Multiple of 854 and 860

Properties of GCF 854 and 860

(i) The GCF of 854 and 860 is associative

GCF of 854 and 860 = GCF of 860 and 854

Related Greatest Common Factor of 854

Related Greatest Common Factor of 860

Frequently Asked Questions on GCF of 854 and 860

1. What is the GCF of 854 and 860?

Answer: GCF of 854 and 860 is 2.

2. 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.

3. What are the Factors of 860?

Answer: Factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860. There are 12 integers that are factors of 860. The greatest factor of 860 is 860.

4. How to Find the GCF of 854 and 860?

Answer:

Greatest Common Factor of 854 and 860 = 2

Step 1: Find the prime factorization of 854

854 = 2 x 7 x 61

Step 2: Find the prime factorization of 860

860 = 2 x 2 x 5 x 43

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 854 and 860 is 2