Greatest Common Factor of 1936 and 1940

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 1936, 1940 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1936 and 1940 is 4.

GCF(1936,1940) = 4

GCF of 1936 and 1940

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

GCF of:
and

Greatest Common Factor of 1936 and 1940

GCF of 1936 and 1940 is 4

Prime Factorization of 1936


2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 1936 are 2,11. Prime factorization of 1936 in exponential form is:

1936 = 24×112

Prime Factorization of 1940


2 1940
2 970
5 485
97 97
1

Prime factors of 1940 are 2,5,97. Prime factorization of 1940 in exponential form is:

1940 = 22×51×971

∴ So by taking common prime factors GCF of 1936 and 1940 is 4

Greatest Common Factor of 1936 and 1940 by matching factors method

Factors of 1936

List of positive integer factors of 1936 that divides 1936 without a remainder.

1,2,4,8,11,16,22,44,88,121,176,242,484,968,1936

Factors of 1940

List of positive integer factors of 1940 that divides 1940 without a remainder.

1,2,4,5,10,20,97,194,388,485,970,1940

Greatest Common Factor

We found the factors and prime factorization of 1936 and 1940. The biggest common factor number is the GCF number.
So the greatest common factor 1936 and 1940 is 4.

Also check out the Least Common Multiple of 1936 and 1940

Properties of GCF 1936 and 1940

(i) The GCF of 1936 and 1940 is associative

GCF of 1936 and 1940 = GCF of 1940 and 1936

Related Greatest Common Factor of 1936

Related Greatest Common Factor of 1940

Frequently Asked Questions on GCF of 1936 and 1940

1. What is the GCF of 1936 and 1940?

Answer: GCF of 1936 and 1940 is 4.

2. What are the Factors of 1936?

Answer: Factors of 1936 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936. There are 15 integers that are factors of 1936. The greatest factor of 1936 is 1936.

3. What are the Factors of 1940?

Answer: Factors of 1940 are 1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940. There are 12 integers that are factors of 1940. The greatest factor of 1940 is 1940.

4. How to Find the GCF of 1936 and 1940?

Answer:

Greatest Common Factor of 1936 and 1940 = 4

Step 1: Find the prime factorization of 1936

1936 = 2 x 2 x 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 1940

1940 = 2 x 2 x 5 x 97

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 1936 and 1940 is 4