Greatest Common Factor of 9932 and 9938

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 9932, 9938 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9932 and 9938 is 2.

GCF(9932,9938) = 2

GCF of 9932 and 9938

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

GCF of:
and

Greatest Common Factor of 9932 and 9938

GCF of 9932 and 9938 is 2

Prime Factorization of 9932


2 9932
2 4966
13 2483
191 191
1

Prime factors of 9932 are 2,13,191. Prime factorization of 9932 in exponential form is:

9932 = 22×131×1911

Prime Factorization of 9938


2 9938
4969 4969
1

Prime factors of 9938 are 2,4969. Prime factorization of 9938 in exponential form is:

9938 = 21×49691

∴ So by taking common prime factors GCF of 9932 and 9938 is 2

Greatest Common Factor of 9932 and 9938 by matching factors method

Factors of 9932

List of positive integer factors of 9932 that divides 9932 without a remainder.

1,2,4,13,26,52,191,382,764,2483,4966,9932

Factors of 9938

List of positive integer factors of 9938 that divides 9938 without a remainder.

1,2,4969,9938

Greatest Common Factor

We found the factors and prime factorization of 9932 and 9938. The biggest common factor number is the GCF number.
So the greatest common factor 9932 and 9938 is 2.

Also check out the Least Common Multiple of 9932 and 9938

Properties of GCF 9932 and 9938

(i) The GCF of 9932 and 9938 is associative

GCF of 9932 and 9938 = GCF of 9938 and 9932

Related Greatest Common Factor of 9932

Related Greatest Common Factor of 9938

Frequently Asked Questions on GCF of 9932 and 9938

1. What is the GCF of 9932 and 9938?

Answer: GCF of 9932 and 9938 is 2.

2. What are the Factors of 9932?

Answer: Factors of 9932 are 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932. There are 12 integers that are factors of 9932. The greatest factor of 9932 is 9932.

3. What are the Factors of 9938?

Answer: Factors of 9938 are 1, 2, 4969, 9938. There are 4 integers that are factors of 9938. The greatest factor of 9938 is 9938.

4. How to Find the GCF of 9932 and 9938?

Answer:

Greatest Common Factor of 9932 and 9938 = 2

Step 1: Find the prime factorization of 9932

9932 = 2 x 2 x 13 x 191

Step 2: Find the prime factorization of 9938

9938 = 2 x 4969

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 9932 and 9938 is 2