Greatest Common Factor of 1940 and 1945

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 1940, 1945 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1940 and 1945 is 5.

GCF(1940,1945) = 5

GCF of 1940 and 1945

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

GCF of:
and

Greatest Common Factor of 1940 and 1945

GCF of 1940 and 1945 is 5

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

Prime Factorization of 1945


5 1945
389 389
1

Prime factors of 1945 are 5,389. Prime factorization of 1945 in exponential form is:

1945 = 51×3891

∴ So by taking common prime factors GCF of 1940 and 1945 is 5

Greatest Common Factor of 1940 and 1945 by matching factors method

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

Factors of 1945

List of positive integer factors of 1945 that divides 1945 without a remainder.

1,5,389,1945

Greatest Common Factor

We found the factors and prime factorization of 1940 and 1945. The biggest common factor number is the GCF number.
So the greatest common factor 1940 and 1945 is 5.

Also check out the Least Common Multiple of 1940 and 1945

Properties of GCF 1940 and 1945

(i) The GCF of 1940 and 1945 is associative

GCF of 1940 and 1945 = GCF of 1945 and 1940

Related Greatest Common Factor of 1940

Related Greatest Common Factor of 1945

Frequently Asked Questions on GCF of 1940 and 1945

1. What is the GCF of 1940 and 1945?

Answer: GCF of 1940 and 1945 is 5.

2. 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.

3. What are the Factors of 1945?

Answer: Factors of 1945 are 1, 5, 389, 1945. There are 4 integers that are factors of 1945. The greatest factor of 1945 is 1945.

4. How to Find the GCF of 1940 and 1945?

Answer:

Greatest Common Factor of 1940 and 1945 = 5

Step 1: Find the prime factorization of 1940

1940 = 2 x 2 x 5 x 97

Step 2: Find the prime factorization of 1945

1945 = 5 x 389

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1940 and 1945 is 5