What is the Greatest Common Factor of 1938 and 1955?

Greatest common factor (GCF) of 1938 and 1955 is 17.

GCF(1938,1955) = 17

We will now calculate the prime factors of 1938 and 1955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1938 and 1955.

How to find the GCF of 1938 and 1955?

We will first find the prime factorization of 1938 and 1955. After we will calculate the factors of 1938 and 1955 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 1955

Prime factors of 1955 are 5, 17, 23. Prime factorization of 1955 in exponential form is:

1955 = 5¹ × 17¹ × 23¹

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 1955

List of positive integer factors of 1955 that divides 1938 without a remainder.

1, 5, 17, 23, 85, 115, 391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1938 and 1955. The biggest common factor number is the GCF number.
So the greatest common factor 1938 and 1955 is 17.

Also check out the Least Common Multiple of 1938 and 1955