Greatest Common Factor of 1945 and 1950

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 1945, 1950 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1945 and 1950 is 5.

GCF(1945,1950) = 5

GCF of 1945 and 1950

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

GCF of:
and

Greatest Common Factor of 1945 and 1950

GCF of 1945 and 1950 is 5

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

Prime Factorization of 1950


2 1950
3 975
5 325
5 65
13 13
1

Prime factors of 1950 are 2,3,5,13. Prime factorization of 1950 in exponential form is:

1950 = 21×31×52×131

∴ So by taking common prime factors GCF of 1945 and 1950 is 5

Greatest Common Factor of 1945 and 1950 by matching factors method

Factors of 1945

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

1,5,389,1945

Factors of 1950

List of positive integer factors of 1950 that divides 1950 without a remainder.

1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950

Greatest Common Factor

We found the factors and prime factorization of 1945 and 1950. The biggest common factor number is the GCF number.
So the greatest common factor 1945 and 1950 is 5.

Also check out the Least Common Multiple of 1945 and 1950

Properties of GCF 1945 and 1950

(i) The GCF of 1945 and 1950 is associative

GCF of 1945 and 1950 = GCF of 1950 and 1945

Related Greatest Common Factor of 1945

Related Greatest Common Factor of 1950

Frequently Asked Questions on GCF of 1945 and 1950

1. What is the GCF of 1945 and 1950?

Answer: GCF of 1945 and 1950 is 5.

2. 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.

3. What are the Factors of 1950?

Answer: Factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950. There are 24 integers that are factors of 1950. The greatest factor of 1950 is 1950.

4. How to Find the GCF of 1945 and 1950?

Answer:

Greatest Common Factor of 1945 and 1950 = 5

Step 1: Find the prime factorization of 1945

1945 = 5 x 389

Step 2: Find the prime factorization of 1950

1950 = 2 x 3 x 5 x 5 x 13

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 1945 and 1950 is 5