Greatest Common Factor of 1944 and 1948

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, 1948 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1944 and 1948 is 4.

GCF(1944,1948) = 4

GCF of 1944 and 1948

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

GCF of:
and

Greatest Common Factor of 1944 and 1948

GCF of 1944 and 1948 is 4

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 1948


2 1948
2 974
487 487
1

Prime factors of 1948 are 2,487. Prime factorization of 1948 in exponential form is:

1948 = 22×4871

∴ So by taking common prime factors GCF of 1944 and 1948 is 4

Greatest Common Factor of 1944 and 1948 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 1948

List of positive integer factors of 1948 that divides 1948 without a remainder.

1,2,4,487,974,1948

Greatest Common Factor

We found the factors and prime factorization of 1944 and 1948. The biggest common factor number is the GCF number.
So the greatest common factor 1944 and 1948 is 4.

Also check out the Least Common Multiple of 1944 and 1948

Properties of GCF 1944 and 1948

(i) The GCF of 1944 and 1948 is associative

GCF of 1944 and 1948 = GCF of 1948 and 1944

Related Greatest Common Factor of 1944

Related Greatest Common Factor of 1948

Frequently Asked Questions on GCF of 1944 and 1948

1. What is the GCF of 1944 and 1948?

Answer: GCF of 1944 and 1948 is 4.

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 1948?

Answer: Factors of 1948 are 1, 2, 4, 487, 974, 1948. There are 6 integers that are factors of 1948. The greatest factor of 1948 is 1948.

4. How to Find the GCF of 1944 and 1948?

Answer:

Greatest Common Factor of 1944 and 1948 = 4

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 1948

1948 = 2 x 2 x 487

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1944 and 1948 is 4