What is the Greatest Common Factor of 1919 and 1934?

Greatest common factor (GCF) of 1919 and 1934 is 1.

GCF(1919,1934) = 1

We will now calculate the prime factors of 1919 and 1934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1919 and 1934.

How to find the GCF of 1919 and 1934?

We will first find the prime factorization of 1919 and 1934. After we will calculate the factors of 1919 and 1934 and find the biggest common factor number .

Step-1: Prime Factorization of 1919

Prime factors of 1919 are 19, 101. Prime factorization of 1919 in exponential form is:

1919 = 19¹ × 101¹

Step-2: Prime Factorization of 1934

Prime factors of 1934 are 2, 967. Prime factorization of 1934 in exponential form is:

1934 = 2¹ × 967¹

Step-3: Factors of 1919

List of positive integer factors of 1919 that divides 1919 without a remainder.

1, 19, 101

Step-4: Factors of 1934

List of positive integer factors of 1934 that divides 1919 without a remainder.

1, 2, 967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1919 and 1934. The biggest common factor number is the GCF number.
So the greatest common factor 1919 and 1934 is 1.

Also check out the Least Common Multiple of 1919 and 1934