Greatest Common Factor of 9872 and 9874

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 9872, 9874 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9872 and 9874 is 2.

GCF(9872,9874) = 2

GCF of 9872 and 9874

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

GCF of:
and

Greatest Common Factor of 9872 and 9874

GCF of 9872 and 9874 is 2

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

Prime Factorization of 9874


2 9874
4937 4937
1

Prime factors of 9874 are 2,4937. Prime factorization of 9874 in exponential form is:

9874 = 21×49371

∴ So by taking common prime factors GCF of 9872 and 9874 is 2

Greatest Common Factor of 9872 and 9874 by matching factors method

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

Factors of 9874

List of positive integer factors of 9874 that divides 9874 without a remainder.

1,2,4937,9874

Greatest Common Factor

We found the factors and prime factorization of 9872 and 9874. The biggest common factor number is the GCF number.
So the greatest common factor 9872 and 9874 is 2.

Also check out the Least Common Multiple of 9872 and 9874

Properties of GCF 9872 and 9874

(i) The GCF of 9872 and 9874 is associative

GCF of 9872 and 9874 = GCF of 9874 and 9872

Related Greatest Common Factor of 9872

Related Greatest Common Factor of 9874

Frequently Asked Questions on GCF of 9872 and 9874

1. What is the GCF of 9872 and 9874?

Answer: GCF of 9872 and 9874 is 2.

2. 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.

3. What are the Factors of 9874?

Answer: Factors of 9874 are 1, 2, 4937, 9874. There are 4 integers that are factors of 9874. The greatest factor of 9874 is 9874.

4. How to Find the GCF of 9872 and 9874?

Answer:

Greatest Common Factor of 9872 and 9874 = 2

Step 1: Find the prime factorization of 9872

9872 = 2 x 2 x 2 x 2 x 617

Step 2: Find the prime factorization of 9874

9874 = 2 x 4937

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 9872 and 9874 is 2