Greatest Common Factor of 878 and 884

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 878, 884 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 878 and 884 is 2.

GCF(878,884) = 2

GCF of 878 and 884

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

GCF of:
and

Greatest Common Factor of 878 and 884

GCF of 878 and 884 is 2

Prime Factorization of 878


2 878
439 439
1

Prime factors of 878 are 2,439. Prime factorization of 878 in exponential form is:

878 = 21×4391

Prime Factorization of 884


2 884
2 442
13 221
17 17
1

Prime factors of 884 are 2,13,17. Prime factorization of 884 in exponential form is:

884 = 22×131×171

∴ So by taking common prime factors GCF of 878 and 884 is 2

Greatest Common Factor of 878 and 884 by matching factors method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors and prime factorization of 878 and 884. The biggest common factor number is the GCF number.
So the greatest common factor 878 and 884 is 2.

Also check out the Least Common Multiple of 878 and 884

Properties of GCF 878 and 884

(i) The GCF of 878 and 884 is associative

GCF of 878 and 884 = GCF of 884 and 878

Related Greatest Common Factor of 878

Related Greatest Common Factor of 884

Frequently Asked Questions on GCF of 878 and 884

1. What is the GCF of 878 and 884?

Answer: GCF of 878 and 884 is 2.

2. What are the Factors of 878?

Answer: Factors of 878 are 1, 2, 439, 878. There are 4 integers that are factors of 878. The greatest factor of 878 is 878.

3. What are the Factors of 884?

Answer: Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884. There are 12 integers that are factors of 884. The greatest factor of 884 is 884.

4. How to Find the GCF of 878 and 884?

Answer:

Greatest Common Factor of 878 and 884 = 2

Step 1: Find the prime factorization of 878

878 = 2 x 439

Step 2: Find the prime factorization of 884

884 = 2 x 2 x 13 x 17

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 878 and 884 is 2