What is the Greatest Common Factor of 1920 and 1932?

Greatest common factor (GCF) of 1920 and 1932 is 12.

GCF(1920,1932) = 12

We will now calculate the prime factors of 1920 and 1932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1920 and 1932.

How to find the GCF of 1920 and 1932?

We will first find the prime factorization of 1920 and 1932. After we will calculate the factors of 1920 and 1932 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 1932

Prime factors of 1932 are 2, 3, 7, 23. Prime factorization of 1932 in exponential form is:

1932 = 2² × 3¹ × 7¹ × 23¹

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 1932

List of positive integer factors of 1932 that divides 1920 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1920 and 1932. The biggest common factor number is the GCF number.
So the greatest common factor 1920 and 1932 is 12.

Also check out the Least Common Multiple of 1920 and 1932