What is the Greatest Common Factor of 1929 and 1944?

Greatest common factor (GCF) of 1929 and 1944 is 3.

GCF(1929,1944) = 3

We will now calculate the prime factors of 1929 and 1944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1929 and 1944.

How to find the GCF of 1929 and 1944?

We will first find the prime factorization of 1929 and 1944. After we will calculate the factors of 1929 and 1944 and find the biggest common factor number .

Step-1: Prime Factorization of 1929

Prime factors of 1929 are 3, 643. Prime factorization of 1929 in exponential form is:

1929 = 3¹ × 643¹

Step-2: Prime Factorization of 1944

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

1944 = 2³ × 3⁵

Step-3: Factors of 1929

List of positive integer factors of 1929 that divides 1929 without a remainder.

1, 3, 643

Step-4: Factors of 1944

List of positive integer factors of 1944 that divides 1929 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1929 and 1944. The biggest common factor number is the GCF number.
So the greatest common factor 1929 and 1944 is 3.

Also check out the Least Common Multiple of 1929 and 1944