What is the Greatest Common Factor of 1920 and 1931?

Greatest common factor (GCF) of 1920 and 1931 is 1.

GCF(1920,1931) = 1

We will now calculate the prime factors of 1920 and 1931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1920 and 1931.

How to find the GCF of 1920 and 1931?

We will first find the prime factorization of 1920 and 1931. After we will calculate the factors of 1920 and 1931 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 1931

Prime factors of 1931 are 1931. Prime factorization of 1931 in exponential form is:

1931 = 1931¹

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 1931

List of positive integer factors of 1931 that divides 1920 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1920 and 1931. The biggest common factor number is the GCF number.
So the greatest common factor 1920 and 1931 is 1.

Also check out the Least Common Multiple of 1920 and 1931