What is the Greatest Common Factor of 1938 and 1947?

Greatest common factor (GCF) of 1938 and 1947 is 3.

GCF(1938,1947) = 3

We will now calculate the prime factors of 1938 and 1947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1938 and 1947.

How to find the GCF of 1938 and 1947?

We will first find the prime factorization of 1938 and 1947. After we will calculate the factors of 1938 and 1947 and find the biggest common factor number .

Step-1: Prime Factorization of 1938

Prime factors of 1938 are 2, 3, 17, 19. Prime factorization of 1938 in exponential form is:

1938 = 2¹ × 3¹ × 17¹ × 19¹

Step-2: Prime Factorization of 1947

Prime factors of 1947 are 3, 11, 59. Prime factorization of 1947 in exponential form is:

1947 = 3¹ × 11¹ × 59¹

Step-3: Factors of 1938

List of positive integer factors of 1938 that divides 1938 without a remainder.

1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969

Step-4: Factors of 1947

List of positive integer factors of 1947 that divides 1938 without a remainder.

1, 3, 11, 33, 59, 177, 649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1938 and 1947. The biggest common factor number is the GCF number.
So the greatest common factor 1938 and 1947 is 3.

Also check out the Least Common Multiple of 1938 and 1947