What is the Greatest Common Factor of 1938 and 1942?

Greatest common factor (GCF) of 1938 and 1942 is 2.

GCF(1938,1942) = 2

We will now calculate the prime factors of 1938 and 1942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1938 and 1942.

How to find the GCF of 1938 and 1942?

We will first find the prime factorization of 1938 and 1942. After we will calculate the factors of 1938 and 1942 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 1942

Prime factors of 1942 are 2, 971. Prime factorization of 1942 in exponential form is:

1942 = 2¹ × 971¹

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 1942

List of positive integer factors of 1942 that divides 1938 without a remainder.

1, 2, 971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1938 and 1942. The biggest common factor number is the GCF number.
So the greatest common factor 1938 and 1942 is 2.

Also check out the Least Common Multiple of 1938 and 1942