Greatest Common Factor of 9946 and 9950

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 9946, 9950 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9946 and 9950 is 2.

GCF(9946,9950) = 2

GCF of 9946 and 9950

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

GCF of:
and

Greatest Common Factor of 9946 and 9950

GCF of 9946 and 9950 is 2

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

Prime Factorization of 9950


2 9950
5 4975
5 995
199 199
1

Prime factors of 9950 are 2,5,199. Prime factorization of 9950 in exponential form is:

9950 = 21×52×1991

∴ So by taking common prime factors GCF of 9946 and 9950 is 2

Greatest Common Factor of 9946 and 9950 by matching factors method

Factors of 9946

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

1,2,4973,9946

Factors of 9950

List of positive integer factors of 9950 that divides 9950 without a remainder.

1,2,5,10,25,50,199,398,995,1990,4975,9950

Greatest Common Factor

We found the factors and prime factorization of 9946 and 9950. The biggest common factor number is the GCF number.
So the greatest common factor 9946 and 9950 is 2.

Also check out the Least Common Multiple of 9946 and 9950

Properties of GCF 9946 and 9950

(i) The GCF of 9946 and 9950 is associative

GCF of 9946 and 9950 = GCF of 9950 and 9946

Related Greatest Common Factor of 9946

Related Greatest Common Factor of 9950

Frequently Asked Questions on GCF of 9946 and 9950

1. What is the GCF of 9946 and 9950?

Answer: GCF of 9946 and 9950 is 2.

2. 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.

3. What are the Factors of 9950?

Answer: Factors of 9950 are 1, 2, 5, 10, 25, 50, 199, 398, 995, 1990, 4975, 9950. There are 12 integers that are factors of 9950. The greatest factor of 9950 is 9950.

4. How to Find the GCF of 9946 and 9950?

Answer:

Greatest Common Factor of 9946 and 9950 = 2

Step 1: Find the prime factorization of 9946

9946 = 2 x 4973

Step 2: Find the prime factorization of 9950

9950 = 2 x 5 x 5 x 199

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 9946 and 9950 is 2