Greatest Common Factor of 872 and 874

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 872, 874 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 872 and 874 is 2.

GCF(872,874) = 2

GCF of 872 and 874

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

GCF of:
and

Greatest Common Factor of 872 and 874

GCF of 872 and 874 is 2

Prime Factorization of 872


2 872
2 436
2 218
109 109
1

Prime factors of 872 are 2,109. Prime factorization of 872 in exponential form is:

872 = 23×1091

Prime Factorization of 874


2 874
19 437
23 23
1

Prime factors of 874 are 2,19,23. Prime factorization of 874 in exponential form is:

874 = 21×191×231

∴ So by taking common prime factors GCF of 872 and 874 is 2

Greatest Common Factor of 872 and 874 by matching factors method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors and prime factorization of 872 and 874. The biggest common factor number is the GCF number.
So the greatest common factor 872 and 874 is 2.

Also check out the Least Common Multiple of 872 and 874

Properties of GCF 872 and 874

(i) The GCF of 872 and 874 is associative

GCF of 872 and 874 = GCF of 874 and 872

Related Greatest Common Factor of 872

Related Greatest Common Factor of 874

Frequently Asked Questions on GCF of 872 and 874

1. What is the GCF of 872 and 874?

Answer: GCF of 872 and 874 is 2.

2. What are the Factors of 872?

Answer: Factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872. There are 8 integers that are factors of 872. The greatest factor of 872 is 872.

3. What are the Factors of 874?

Answer: Factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874. There are 8 integers that are factors of 874. The greatest factor of 874 is 874.

4. How to Find the GCF of 872 and 874?

Answer:

Greatest Common Factor of 872 and 874 = 2

Step 1: Find the prime factorization of 872

872 = 2 x 2 x 2 x 109

Step 2: Find the prime factorization of 874

874 = 2 x 19 x 23

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 872 and 874 is 2