What is the Greatest Common Factor of 7920 and 7933?

Greatest common factor (GCF) of 7920 and 7933 is 1.

GCF(7920,7933) = 1

We will now calculate the prime factors of 7920 and 7933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7920 and 7933.

How to find the GCF of 7920 and 7933?

We will first find the prime factorization of 7920 and 7933. After we will calculate the factors of 7920 and 7933 and find the biggest common factor number .

Step-1: Prime Factorization of 7920

Prime factors of 7920 are 2, 3, 5, 11. Prime factorization of 7920 in exponential form is:

7920 = 2⁴ × 3² × 5¹ × 11¹

Step-2: Prime Factorization of 7933

Prime factors of 7933 are 7933. Prime factorization of 7933 in exponential form is:

7933 = 7933¹

Step-3: Factors of 7920

List of positive integer factors of 7920 that divides 7920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960

Step-4: Factors of 7933

List of positive integer factors of 7933 that divides 7920 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7920 and 7933. The biggest common factor number is the GCF number.
So the greatest common factor 7920 and 7933 is 1.

Also check out the Least Common Multiple of 7920 and 7933