Greatest Common Factor of 878 and 886

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

Greatest common factor (GCF) of 878 and 886 is 2.

GCF(878,886) = 2

GCF of 878 and 886

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

GCF of:
and

Greatest Common Factor of 878 and 886

GCF of 878 and 886 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 886


2 886
443 443
1

Prime factors of 886 are 2,443. Prime factorization of 886 in exponential form is:

886 = 21×4431

∴ So by taking common prime factors GCF of 878 and 886 is 2

Greatest Common Factor of 878 and 886 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 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors and prime factorization of 878 and 886. The biggest common factor number is the GCF number.
So the greatest common factor 878 and 886 is 2.

Also check out the Least Common Multiple of 878 and 886

Properties of GCF 878 and 886

(i) The GCF of 878 and 886 is associative

GCF of 878 and 886 = GCF of 886 and 878

Related Greatest Common Factor of 878

Related Greatest Common Factor of 886

Frequently Asked Questions on GCF of 878 and 886

1. What is the GCF of 878 and 886?

Answer: GCF of 878 and 886 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 886?

Answer: Factors of 886 are 1, 2, 443, 886. There are 4 integers that are factors of 886. The greatest factor of 886 is 886.

4. How to Find the GCF of 878 and 886?

Answer:

Greatest Common Factor of 878 and 886 = 2

Step 1: Find the prime factorization of 878

878 = 2 x 439

Step 2: Find the prime factorization of 886

886 = 2 x 443

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 886 is 2