Greatest Common Factor of 3940 and 3944

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 3940, 3944 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3940 and 3944 is 4.

GCF(3940,3944) = 4

GCF of 3940 and 3944

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

GCF of:
and

Greatest Common Factor of 3940 and 3944

GCF of 3940 and 3944 is 4

Prime Factorization of 3940


2 3940
2 1970
5 985
197 197
1

Prime factors of 3940 are 2,5,197. Prime factorization of 3940 in exponential form is:

3940 = 22×51×1971

Prime Factorization of 3944


2 3944
2 1972
2 986
17 493
29 29
1

Prime factors of 3944 are 2,17,29. Prime factorization of 3944 in exponential form is:

3944 = 23×171×291

∴ So by taking common prime factors GCF of 3940 and 3944 is 4

Greatest Common Factor of 3940 and 3944 by matching factors method

Factors of 3940

List of positive integer factors of 3940 that divides 3940 without a remainder.

1,2,4,5,10,20,197,394,788,985,1970,3940

Factors of 3944

List of positive integer factors of 3944 that divides 3944 without a remainder.

1,2,4,8,17,29,34,58,68,116,136,232,493,986,1972,3944

Greatest Common Factor

We found the factors and prime factorization of 3940 and 3944. The biggest common factor number is the GCF number.
So the greatest common factor 3940 and 3944 is 4.

Also check out the Least Common Multiple of 3940 and 3944

Properties of GCF 3940 and 3944

(i) The GCF of 3940 and 3944 is associative

GCF of 3940 and 3944 = GCF of 3944 and 3940

Related Greatest Common Factor of 3940

Related Greatest Common Factor of 3944

Frequently Asked Questions on GCF of 3940 and 3944

1. What is the GCF of 3940 and 3944?

Answer: GCF of 3940 and 3944 is 4.

2. What are the Factors of 3940?

Answer: Factors of 3940 are 1, 2, 4, 5, 10, 20, 197, 394, 788, 985, 1970, 3940. There are 12 integers that are factors of 3940. The greatest factor of 3940 is 3940.

3. What are the Factors of 3944?

Answer: Factors of 3944 are 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972, 3944. There are 16 integers that are factors of 3944. The greatest factor of 3944 is 3944.

4. How to Find the GCF of 3940 and 3944?

Answer:

Greatest Common Factor of 3940 and 3944 = 4

Step 1: Find the prime factorization of 3940

3940 = 2 x 2 x 5 x 197

Step 2: Find the prime factorization of 3944

3944 = 2 x 2 x 2 x 17 x 29

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3940 and 3944 is 4