Greatest Common Factor of 1930 and 1938

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 1930, 1938 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1930 and 1938 is 2.

GCF(1930,1938) = 2

GCF of 1930 and 1938

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

GCF of:
and

Greatest Common Factor of 1930 and 1938

GCF of 1930 and 1938 is 2

Prime Factorization of 1930


2 1930
5 965
193 193
1

Prime factors of 1930 are 2,5,193. Prime factorization of 1930 in exponential form is:

1930 = 21×51×1931

Prime Factorization of 1938


2 1938
3 969
17 323
19 19
1

Prime factors of 1938 are 2,3,17,19. Prime factorization of 1938 in exponential form is:

1938 = 21×31×171×191

∴ So by taking common prime factors GCF of 1930 and 1938 is 2

Greatest Common Factor of 1930 and 1938 by matching factors method

Factors of 1930

List of positive integer factors of 1930 that divides 1930 without a remainder.

1,2,5,10,193,386,965,1930

Factors of 1938

List of positive integer factors of 1938 that divides 1938 without a remainder.

1,2,3,6,17,19,34,38,51,57,102,114,323,646,969,1938

Greatest Common Factor

We found the factors and prime factorization of 1930 and 1938. The biggest common factor number is the GCF number.
So the greatest common factor 1930 and 1938 is 2.

Also check out the Least Common Multiple of 1930 and 1938

Properties of GCF 1930 and 1938

(i) The GCF of 1930 and 1938 is associative

GCF of 1930 and 1938 = GCF of 1938 and 1930

Related Greatest Common Factor of 1930

Related Greatest Common Factor of 1938

Frequently Asked Questions on GCF of 1930 and 1938

1. What is the GCF of 1930 and 1938?

Answer: GCF of 1930 and 1938 is 2.

2. What are the Factors of 1930?

Answer: Factors of 1930 are 1, 2, 5, 10, 193, 386, 965, 1930. There are 8 integers that are factors of 1930. The greatest factor of 1930 is 1930.

3. What are the Factors of 1938?

Answer: Factors of 1938 are 1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938. There are 16 integers that are factors of 1938. The greatest factor of 1938 is 1938.

4. How to Find the GCF of 1930 and 1938?

Answer:

Greatest Common Factor of 1930 and 1938 = 2

Step 1: Find the prime factorization of 1930

1930 = 2 x 5 x 193

Step 2: Find the prime factorization of 1938

1938 = 2 x 3 x 17 x 19

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 1930 and 1938 is 2