Greatest Common Factor of 3938 and 3942

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 3938, 3942 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3938 and 3942 is 2.

GCF(3938,3942) = 2

GCF of 3938 and 3942

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

GCF of:
and

Greatest Common Factor of 3938 and 3942

GCF of 3938 and 3942 is 2

Prime Factorization of 3938


2 3938
11 1969
179 179
1

Prime factors of 3938 are 2,11,179. Prime factorization of 3938 in exponential form is:

3938 = 21×111×1791

Prime Factorization of 3942


2 3942
3 1971
3 657
3 219
73 73
1

Prime factors of 3942 are 2,3,73. Prime factorization of 3942 in exponential form is:

3942 = 21×33×731

∴ So by taking common prime factors GCF of 3938 and 3942 is 2

Greatest Common Factor of 3938 and 3942 by matching factors method

Factors of 3938

List of positive integer factors of 3938 that divides 3938 without a remainder.

1,2,11,22,179,358,1969,3938

Factors of 3942

List of positive integer factors of 3942 that divides 3942 without a remainder.

1,2,3,6,9,18,27,54,73,146,219,438,657,1314,1971,3942

Greatest Common Factor

We found the factors and prime factorization of 3938 and 3942. The biggest common factor number is the GCF number.
So the greatest common factor 3938 and 3942 is 2.

Also check out the Least Common Multiple of 3938 and 3942

Properties of GCF 3938 and 3942

(i) The GCF of 3938 and 3942 is associative

GCF of 3938 and 3942 = GCF of 3942 and 3938

Related Greatest Common Factor of 3938

Related Greatest Common Factor of 3942

Frequently Asked Questions on GCF of 3938 and 3942

1. What is the GCF of 3938 and 3942?

Answer: GCF of 3938 and 3942 is 2.

2. What are the Factors of 3938?

Answer: Factors of 3938 are 1, 2, 11, 22, 179, 358, 1969, 3938. There are 8 integers that are factors of 3938. The greatest factor of 3938 is 3938.

3. What are the Factors of 3942?

Answer: Factors of 3942 are 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942. There are 16 integers that are factors of 3942. The greatest factor of 3942 is 3942.

4. How to Find the GCF of 3938 and 3942?

Answer:

Greatest Common Factor of 3938 and 3942 = 2

Step 1: Find the prime factorization of 3938

3938 = 2 x 11 x 179

Step 2: Find the prime factorization of 3942

3942 = 2 x 3 x 3 x 3 x 73

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 3938 and 3942 is 2