Greatest Common Factor of 9874 and 9876

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 9874, 9876 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9874 and 9876 is 2.

GCF(9874,9876) = 2

GCF of 9874 and 9876

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

GCF of:
and

Greatest Common Factor of 9874 and 9876

GCF of 9874 and 9876 is 2

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

Prime Factorization of 9876


2 9876
2 4938
3 2469
823 823
1

Prime factors of 9876 are 2,3,823. Prime factorization of 9876 in exponential form is:

9876 = 22×31×8231

∴ So by taking common prime factors GCF of 9874 and 9876 is 2

Greatest Common Factor of 9874 and 9876 by matching factors method

Factors of 9874

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

1,2,4937,9874

Factors of 9876

List of positive integer factors of 9876 that divides 9876 without a remainder.

1,2,3,4,6,12,823,1646,2469,3292,4938,9876

Greatest Common Factor

We found the factors and prime factorization of 9874 and 9876. The biggest common factor number is the GCF number.
So the greatest common factor 9874 and 9876 is 2.

Also check out the Least Common Multiple of 9874 and 9876

Properties of GCF 9874 and 9876

(i) The GCF of 9874 and 9876 is associative

GCF of 9874 and 9876 = GCF of 9876 and 9874

Related Greatest Common Factor of 9874

Related Greatest Common Factor of 9876

Frequently Asked Questions on GCF of 9874 and 9876

1. What is the GCF of 9874 and 9876?

Answer: GCF of 9874 and 9876 is 2.

2. 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.

3. What are the Factors of 9876?

Answer: Factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876. There are 12 integers that are factors of 9876. The greatest factor of 9876 is 9876.

4. How to Find the GCF of 9874 and 9876?

Answer:

Greatest Common Factor of 9874 and 9876 = 2

Step 1: Find the prime factorization of 9874

9874 = 2 x 4937

Step 2: Find the prime factorization of 9876

9876 = 2 x 2 x 3 x 823

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 9874 and 9876 is 2