Greatest Common Factor of 9868 and 9872

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 9868, 9872 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9868 and 9872 is 4.

GCF(9868,9872) = 4

GCF of 9868 and 9872

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

GCF of:
and

Greatest Common Factor of 9868 and 9872

GCF of 9868 and 9872 is 4

Prime Factorization of 9868


2 9868
2 4934
2467 2467
1

Prime factors of 9868 are 2,2467. Prime factorization of 9868 in exponential form is:

9868 = 22×24671

Prime Factorization of 9872


2 9872
2 4936
2 2468
2 1234
617 617
1

Prime factors of 9872 are 2,617. Prime factorization of 9872 in exponential form is:

9872 = 24×6171

∴ So by taking common prime factors GCF of 9868 and 9872 is 4

Greatest Common Factor of 9868 and 9872 by matching factors method

Factors of 9868

List of positive integer factors of 9868 that divides 9868 without a remainder.

1,2,4,2467,4934,9868

Factors of 9872

List of positive integer factors of 9872 that divides 9872 without a remainder.

1,2,4,8,16,617,1234,2468,4936,9872

Greatest Common Factor

We found the factors and prime factorization of 9868 and 9872. The biggest common factor number is the GCF number.
So the greatest common factor 9868 and 9872 is 4.

Also check out the Least Common Multiple of 9868 and 9872

Properties of GCF 9868 and 9872

(i) The GCF of 9868 and 9872 is associative

GCF of 9868 and 9872 = GCF of 9872 and 9868

Related Greatest Common Factor of 9868

Related Greatest Common Factor of 9872

Frequently Asked Questions on GCF of 9868 and 9872

1. What is the GCF of 9868 and 9872?

Answer: GCF of 9868 and 9872 is 4.

2. What are the Factors of 9868?

Answer: Factors of 9868 are 1, 2, 4, 2467, 4934, 9868. There are 6 integers that are factors of 9868. The greatest factor of 9868 is 9868.

3. What are the Factors of 9872?

Answer: Factors of 9872 are 1, 2, 4, 8, 16, 617, 1234, 2468, 4936, 9872. There are 10 integers that are factors of 9872. The greatest factor of 9872 is 9872.

4. How to Find the GCF of 9868 and 9872?

Answer:

Greatest Common Factor of 9868 and 9872 = 4

Step 1: Find the prime factorization of 9868

9868 = 2 x 2 x 2467

Step 2: Find the prime factorization of 9872

9872 = 2 x 2 x 2 x 2 x 617

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9868 and 9872 is 4