What is the Greatest Common Factor of 1929 and 1941?

Greatest common factor (GCF) of 1929 and 1941 is 3.

GCF(1929,1941) = 3

We will now calculate the prime factors of 1929 and 1941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1929 and 1941.

How to find the GCF of 1929 and 1941?

We will first find the prime factorization of 1929 and 1941. After we will calculate the factors of 1929 and 1941 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 1941

Prime factors of 1941 are 3, 647. Prime factorization of 1941 in exponential form is:

1941 = 3¹ × 647¹

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 1941

List of positive integer factors of 1941 that divides 1929 without a remainder.

1, 3, 647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1929 and 1941. The biggest common factor number is the GCF number.
So the greatest common factor 1929 and 1941 is 3.

Also check out the Least Common Multiple of 1929 and 1941