Greatest Common Factor of 9938 and 9942

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 9938, 9942 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9938 and 9942 is 2.

GCF(9938,9942) = 2

GCF of 9938 and 9942

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

GCF of:
and

Greatest Common Factor of 9938 and 9942

GCF of 9938 and 9942 is 2

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

Prime Factorization of 9942


2 9942
3 4971
1657 1657
1

Prime factors of 9942 are 2,3,1657. Prime factorization of 9942 in exponential form is:

9942 = 21×31×16571

∴ So by taking common prime factors GCF of 9938 and 9942 is 2

Greatest Common Factor of 9938 and 9942 by matching factors method

Factors of 9938

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

1,2,4969,9938

Factors of 9942

List of positive integer factors of 9942 that divides 9942 without a remainder.

1,2,3,6,1657,3314,4971,9942

Greatest Common Factor

We found the factors and prime factorization of 9938 and 9942. The biggest common factor number is the GCF number.
So the greatest common factor 9938 and 9942 is 2.

Also check out the Least Common Multiple of 9938 and 9942

Properties of GCF 9938 and 9942

(i) The GCF of 9938 and 9942 is associative

GCF of 9938 and 9942 = GCF of 9942 and 9938

Related Greatest Common Factor of 9938

Related Greatest Common Factor of 9942

Frequently Asked Questions on GCF of 9938 and 9942

1. What is the GCF of 9938 and 9942?

Answer: GCF of 9938 and 9942 is 2.

2. 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.

3. What are the Factors of 9942?

Answer: Factors of 9942 are 1, 2, 3, 6, 1657, 3314, 4971, 9942. There are 8 integers that are factors of 9942. The greatest factor of 9942 is 9942.

4. How to Find the GCF of 9938 and 9942?

Answer:

Greatest Common Factor of 9938 and 9942 = 2

Step 1: Find the prime factorization of 9938

9938 = 2 x 4969

Step 2: Find the prime factorization of 9942

9942 = 2 x 3 x 1657

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 9938 and 9942 is 2