What is the Greatest Common Factor of 1938 and 1943?

Greatest common factor (GCF) of 1938 and 1943 is 1.

GCF(1938,1943) = 1

We will now calculate the prime factors of 1938 and 1943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1938 and 1943.

How to find the GCF of 1938 and 1943?

We will first find the prime factorization of 1938 and 1943. After we will calculate the factors of 1938 and 1943 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 1943

Prime factors of 1943 are 29, 67. Prime factorization of 1943 in exponential form is:

1943 = 29¹ × 67¹

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 1943

List of positive integer factors of 1943 that divides 1938 without a remainder.

1, 29, 67

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1938 and 1943. The biggest common factor number is the GCF number.
So the greatest common factor 1938 and 1943 is 1.

Also check out the Least Common Multiple of 1938 and 1943