Greatest Common Factor of 9874 and 9880

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, 9880 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9874 and 9880 is 2.

GCF(9874,9880) = 2

GCF of 9874 and 9880

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

GCF of:
and

Greatest Common Factor of 9874 and 9880

GCF of 9874 and 9880 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 9880


2 9880
2 4940
2 2470
5 1235
13 247
19 19
1

Prime factors of 9880 are 2,5,13,19. Prime factorization of 9880 in exponential form is:

9880 = 23×51×131×191

∴ So by taking common prime factors GCF of 9874 and 9880 is 2

Greatest Common Factor of 9874 and 9880 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 9880

List of positive integer factors of 9880 that divides 9880 without a remainder.

1,2,4,5,8,10,13,19,20,26,38,40,52,65,76,95,104,130,152,190,247,260,380,494,520,760,988,1235,1976,2470,4940,9880

Greatest Common Factor

We found the factors and prime factorization of 9874 and 9880. The biggest common factor number is the GCF number.
So the greatest common factor 9874 and 9880 is 2.

Also check out the Least Common Multiple of 9874 and 9880

Properties of GCF 9874 and 9880

(i) The GCF of 9874 and 9880 is associative

GCF of 9874 and 9880 = GCF of 9880 and 9874

Related Greatest Common Factor of 9874

Related Greatest Common Factor of 9880

Frequently Asked Questions on GCF of 9874 and 9880

1. What is the GCF of 9874 and 9880?

Answer: GCF of 9874 and 9880 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 9880?

Answer: Factors of 9880 are 1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880. There are 32 integers that are factors of 9880. The greatest factor of 9880 is 9880.

4. How to Find the GCF of 9874 and 9880?

Answer:

Greatest Common Factor of 9874 and 9880 = 2

Step 1: Find the prime factorization of 9874

9874 = 2 x 4937

Step 2: Find the prime factorization of 9880

9880 = 2 x 2 x 2 x 5 x 13 x 19

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 9880 is 2