What is the Greatest Common Factor of 1917 and 1929?

Greatest common factor (GCF) of 1917 and 1929 is 3.

GCF(1917,1929) = 3

We will now calculate the prime factors of 1917 and 1929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1917 and 1929.

How to find the GCF of 1917 and 1929?

We will first find the prime factorization of 1917 and 1929. After we will calculate the factors of 1917 and 1929 and find the biggest common factor number .

Step-1: Prime Factorization of 1917

Prime factors of 1917 are 3, 71. Prime factorization of 1917 in exponential form is:

1917 = 3³ × 71¹

Step-2: Prime Factorization of 1929

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

1929 = 3¹ × 643¹

Step-3: Factors of 1917

List of positive integer factors of 1917 that divides 1917 without a remainder.

1, 3, 9, 27, 71, 213, 639

Step-4: Factors of 1929

List of positive integer factors of 1929 that divides 1917 without a remainder.

1, 3, 643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1917 and 1929. The biggest common factor number is the GCF number.
So the greatest common factor 1917 and 1929 is 3.

Also check out the Least Common Multiple of 1917 and 1929