Greatest Common Factor of 5938 and 5942

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 5938, 5942 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5938 and 5942 is 2.

GCF(5938,5942) = 2

GCF of 5938 and 5942

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

GCF of:
and

Greatest Common Factor of 5938 and 5942

GCF of 5938 and 5942 is 2

Prime Factorization of 5938


2 5938
2969 2969
1

Prime factors of 5938 are 2,2969. Prime factorization of 5938 in exponential form is:

5938 = 21×29691

Prime Factorization of 5942


2 5942
2971 2971
1

Prime factors of 5942 are 2,2971. Prime factorization of 5942 in exponential form is:

5942 = 21×29711

∴ So by taking common prime factors GCF of 5938 and 5942 is 2

Greatest Common Factor of 5938 and 5942 by matching factors method

Factors of 5938

List of positive integer factors of 5938 that divides 5938 without a remainder.

1,2,2969,5938

Factors of 5942

List of positive integer factors of 5942 that divides 5942 without a remainder.

1,2,2971,5942

Greatest Common Factor

We found the factors and prime factorization of 5938 and 5942. The biggest common factor number is the GCF number.
So the greatest common factor 5938 and 5942 is 2.

Also check out the Least Common Multiple of 5938 and 5942

Properties of GCF 5938 and 5942

(i) The GCF of 5938 and 5942 is associative

GCF of 5938 and 5942 = GCF of 5942 and 5938

Related Greatest Common Factor of 5938

Related Greatest Common Factor of 5942

Frequently Asked Questions on GCF of 5938 and 5942

1. What is the GCF of 5938 and 5942?

Answer: GCF of 5938 and 5942 is 2.

2. What are the Factors of 5938?

Answer: Factors of 5938 are 1, 2, 2969, 5938. There are 4 integers that are factors of 5938. The greatest factor of 5938 is 5938.

3. What are the Factors of 5942?

Answer: Factors of 5942 are 1, 2, 2971, 5942. There are 4 integers that are factors of 5942. The greatest factor of 5942 is 5942.

4. How to Find the GCF of 5938 and 5942?

Answer:

Greatest Common Factor of 5938 and 5942 = 2

Step 1: Find the prime factorization of 5938

5938 = 2 x 2969

Step 2: Find the prime factorization of 5942

5942 = 2 x 2971

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 5938 and 5942 is 2