What is the Greatest Common Factor of 1919 and 1936?

Greatest common factor (GCF) of 1919 and 1936 is 1.

GCF(1919,1936) = 1

We will now calculate the prime factors of 1919 and 1936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1919 and 1936.

How to find the GCF of 1919 and 1936?

We will first find the prime factorization of 1919 and 1936. After we will calculate the factors of 1919 and 1936 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 1936

Prime factors of 1936 are 2, 11. Prime factorization of 1936 in exponential form is:

1936 = 2⁴ × 11²

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 1936

List of positive integer factors of 1936 that divides 1919 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1919 and 1936. The biggest common factor number is the GCF number.
So the greatest common factor 1919 and 1936 is 1.

Also check out the Least Common Multiple of 1919 and 1936