Greatest Common Factor of 1944 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 1944, 1950 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1944 and 1950 is 6.

GCF(1944,1950) = 6

GCF of 1944 and 1950

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

GCF of:
and

Greatest Common Factor of 1944 and 1950

GCF of 1944 and 1950 is 6

Prime Factorization of 1944


2 1944
2 972
2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 1944 are 2,3. Prime factorization of 1944 in exponential form is:

1944 = 23×35

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 1944 and 1950 is 6

Greatest Common Factor of 1944 and 1950 by matching factors method

Factors of 1944

List of positive integer factors of 1944 that divides 1944 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,972,1944

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 1944 and 1950. The biggest common factor number is the GCF number.
So the greatest common factor 1944 and 1950 is 6.

Also check out the Least Common Multiple of 1944 and 1950

Properties of GCF 1944 and 1950

(i) The GCF of 1944 and 1950 is associative

GCF of 1944 and 1950 = GCF of 1950 and 1944

Related Greatest Common Factor of 1944

Related Greatest Common Factor of 1950

Frequently Asked Questions on GCF of 1944 and 1950

1. What is the GCF of 1944 and 1950?

Answer: GCF of 1944 and 1950 is 6.

2. What are the Factors of 1944?

Answer: Factors of 1944 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944. There are 24 integers that are factors of 1944. The greatest factor of 1944 is 1944.

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 1944 and 1950?

Answer:

Greatest Common Factor of 1944 and 1950 = 6

Step 1: Find the prime factorization of 1944

1944 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3

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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1944 and 1950 is 6