Greatest Common Factor of 9940 and 9946

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 9940, 9946 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9940 and 9946 is 2.

GCF(9940,9946) = 2

GCF of 9940 and 9946

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

GCF of:
and

Greatest Common Factor of 9940 and 9946

GCF of 9940 and 9946 is 2

Prime Factorization of 9940


2 9940
2 4970
5 2485
7 497
71 71
1

Prime factors of 9940 are 2,5,7,71. Prime factorization of 9940 in exponential form is:

9940 = 22×51×71×711

Prime Factorization of 9946


2 9946
4973 4973
1

Prime factors of 9946 are 2,4973. Prime factorization of 9946 in exponential form is:

9946 = 21×49731

∴ So by taking common prime factors GCF of 9940 and 9946 is 2

Greatest Common Factor of 9940 and 9946 by matching factors method

Factors of 9940

List of positive integer factors of 9940 that divides 9940 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,71,140,142,284,355,497,710,994,1420,1988,2485,4970,9940

Factors of 9946

List of positive integer factors of 9946 that divides 9946 without a remainder.

1,2,4973,9946

Greatest Common Factor

We found the factors and prime factorization of 9940 and 9946. The biggest common factor number is the GCF number.
So the greatest common factor 9940 and 9946 is 2.

Also check out the Least Common Multiple of 9940 and 9946

Properties of GCF 9940 and 9946

(i) The GCF of 9940 and 9946 is associative

GCF of 9940 and 9946 = GCF of 9946 and 9940

Related Greatest Common Factor of 9940

Related Greatest Common Factor of 9946

Frequently Asked Questions on GCF of 9940 and 9946

1. What is the GCF of 9940 and 9946?

Answer: GCF of 9940 and 9946 is 2.

2. What are the Factors of 9940?

Answer: Factors of 9940 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940. There are 24 integers that are factors of 9940. The greatest factor of 9940 is 9940.

3. What are the Factors of 9946?

Answer: Factors of 9946 are 1, 2, 4973, 9946. There are 4 integers that are factors of 9946. The greatest factor of 9946 is 9946.

4. How to Find the GCF of 9940 and 9946?

Answer:

Greatest Common Factor of 9940 and 9946 = 2

Step 1: Find the prime factorization of 9940

9940 = 2 x 2 x 5 x 7 x 71

Step 2: Find the prime factorization of 9946

9946 = 2 x 4973

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 9940 and 9946 is 2