What is the Greatest Common Factor of 1920 and 1937?

Greatest common factor (GCF) of 1920 and 1937 is 1.

GCF(1920,1937) = 1

We will now calculate the prime factors of 1920 and 1937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1920 and 1937.

How to find the GCF of 1920 and 1937?

We will first find the prime factorization of 1920 and 1937. After we will calculate the factors of 1920 and 1937 and find the biggest common factor number .

Step-1: Prime Factorization of 1920

Prime factors of 1920 are 2, 3, 5. Prime factorization of 1920 in exponential form is:

1920 = 2⁷ × 3¹ × 5¹

Step-2: Prime Factorization of 1937

Prime factors of 1937 are 13, 149. Prime factorization of 1937 in exponential form is:

1937 = 13¹ × 149¹

Step-3: Factors of 1920

List of positive integer factors of 1920 that divides 1920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960

Step-4: Factors of 1937

List of positive integer factors of 1937 that divides 1920 without a remainder.

1, 13, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1920 and 1937. The biggest common factor number is the GCF number.
So the greatest common factor 1920 and 1937 is 1.

Also check out the Least Common Multiple of 1920 and 1937