Greatest Common Factor of 1944 and 1949

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, 1949 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1944 and 1949 is 1.

GCF(1944,1949) = 1

GCF of 1944 and 1949

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

GCF of:
and

Greatest Common Factor of 1944 and 1949

GCF of 1944 and 1949 is 1

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 1949


1949 1949
1

Prime factors of 1949 are 1949. Prime factorization of 1949 in exponential form is:

1949 = 19491

∴ So by taking common prime factors GCF of 1944 and 1949 is 1

Greatest Common Factor of 1944 and 1949 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 1949

List of positive integer factors of 1949 that divides 1949 without a remainder.

1,1949

Greatest Common Factor

We found the factors and prime factorization of 1944 and 1949. The biggest common factor number is the GCF number.
So the greatest common factor 1944 and 1949 is 1.

Also check out the Least Common Multiple of 1944 and 1949

Properties of GCF 1944 and 1949

(i) The GCF of 1944 and 1949 is associative

GCF of 1944 and 1949 = GCF of 1949 and 1944

Related Greatest Common Factor of 1944

Related Greatest Common Factor of 1949

Frequently Asked Questions on GCF of 1944 and 1949

1. What is the GCF of 1944 and 1949?

Answer: GCF of 1944 and 1949 is 1.

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 1949?

Answer: Factors of 1949 are 1, 1949. There are 2 integers that are factors of 1949. The greatest factor of 1949 is 1949.

4. How to Find the GCF of 1944 and 1949?

Answer:

Greatest Common Factor of 1944 and 1949 = 1

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 1949

1949 = 1949

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1944 and 1949 is 1