Greatest Common Factor of 8874 and 8882

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 8874, 8882 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8874 and 8882 is 2.

GCF(8874,8882) = 2

GCF of 8874 and 8882

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

GCF of:
and

Greatest Common Factor of 8874 and 8882

GCF of 8874 and 8882 is 2

Prime Factorization of 8874


2 8874
3 4437
3 1479
17 493
29 29
1

Prime factors of 8874 are 2,3,17,29. Prime factorization of 8874 in exponential form is:

8874 = 21×32×171×291

Prime Factorization of 8882


2 8882
4441 4441
1

Prime factors of 8882 are 2,4441. Prime factorization of 8882 in exponential form is:

8882 = 21×44411

∴ So by taking common prime factors GCF of 8874 and 8882 is 2

Greatest Common Factor of 8874 and 8882 by matching factors method

Factors of 8874

List of positive integer factors of 8874 that divides 8874 without a remainder.

1,2,3,6,9,17,18,29,34,51,58,87,102,153,174,261,306,493,522,986,1479,2958,4437,8874

Factors of 8882

List of positive integer factors of 8882 that divides 8882 without a remainder.

1,2,4441,8882

Greatest Common Factor

We found the factors and prime factorization of 8874 and 8882. The biggest common factor number is the GCF number.
So the greatest common factor 8874 and 8882 is 2.

Also check out the Least Common Multiple of 8874 and 8882

Properties of GCF 8874 and 8882

(i) The GCF of 8874 and 8882 is associative

GCF of 8874 and 8882 = GCF of 8882 and 8874

Related Greatest Common Factor of 8874

Related Greatest Common Factor of 8882

Frequently Asked Questions on GCF of 8874 and 8882

1. What is the GCF of 8874 and 8882?

Answer: GCF of 8874 and 8882 is 2.

2. What are the Factors of 8874?

Answer: Factors of 8874 are 1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874. There are 24 integers that are factors of 8874. The greatest factor of 8874 is 8874.

3. What are the Factors of 8882?

Answer: Factors of 8882 are 1, 2, 4441, 8882. There are 4 integers that are factors of 8882. The greatest factor of 8882 is 8882.

4. How to Find the GCF of 8874 and 8882?

Answer:

Greatest Common Factor of 8874 and 8882 = 2

Step 1: Find the prime factorization of 8874

8874 = 2 x 3 x 3 x 17 x 29

Step 2: Find the prime factorization of 8882

8882 = 2 x 4441

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 8874 and 8882 is 2