Greatest Common Factor of 3942 and 3943

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 3942, 3943 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3942 and 3943 is 1.

GCF(3942,3943) = 1

GCF of 3942 and 3943

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

GCF of:
and

Greatest Common Factor of 3942 and 3943

GCF of 3942 and 3943 is 1

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

Prime Factorization of 3943


3943 3943
1

Prime factors of 3943 are 3943. Prime factorization of 3943 in exponential form is:

3943 = 39431

∴ So by taking common prime factors GCF of 3942 and 3943 is 1

Greatest Common Factor of 3942 and 3943 by matching factors method

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

Factors of 3943

List of positive integer factors of 3943 that divides 3943 without a remainder.

1,3943

Greatest Common Factor

We found the factors and prime factorization of 3942 and 3943. The biggest common factor number is the GCF number.
So the greatest common factor 3942 and 3943 is 1.

Also check out the Least Common Multiple of 3942 and 3943

Properties of GCF 3942 and 3943

(i) The GCF of 3942 and 3943 is associative

GCF of 3942 and 3943 = GCF of 3943 and 3942

Frequently Asked Questions on GCF of 3942 and 3943

1. What is the GCF of 3942 and 3943?

Answer: GCF of 3942 and 3943 is 1.

2. 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.

3. What are the Factors of 3943?

Answer: Factors of 3943 are 1, 3943. There are 2 integers that are factors of 3943. The greatest factor of 3943 is 3943.

4. How to Find the GCF of 3942 and 3943?

Answer:

Greatest Common Factor of 3942 and 3943 = 1

Step 1: Find the prime factorization of 3942

3942 = 2 x 3 x 3 x 3 x 73

Step 2: Find the prime factorization of 3943

3943 = 3943

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 3942 and 3943 is 1