What is the Greatest Common Factor of 55920 and 55933?

Greatest common factor (GCF) of 55920 and 55933 is 1.

GCF(55920,55933) = 1

We will now calculate the prime factors of 55920 and 55933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55920 and 55933.

How to find the GCF of 55920 and 55933?

We will first find the prime factorization of 55920 and 55933. After we will calculate the factors of 55920 and 55933 and find the biggest common factor number .

Step-1: Prime Factorization of 55920

Prime factors of 55920 are 2, 3, 5, 233. Prime factorization of 55920 in exponential form is:

55920 = 2⁴ × 3¹ × 5¹ × 233¹

Step-2: Prime Factorization of 55933

Prime factors of 55933 are 55933. Prime factorization of 55933 in exponential form is:

55933 = 55933¹

Step-3: Factors of 55920

List of positive integer factors of 55920 that divides 55920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 233, 240, 466, 699, 932, 1165, 1398, 1864, 2330, 2796, 3495, 3728, 4660, 5592, 6990, 9320, 11184, 13980, 18640, 27960

Step-4: Factors of 55933

List of positive integer factors of 55933 that divides 55920 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55920 and 55933. The biggest common factor number is the GCF number.
So the greatest common factor 55920 and 55933 is 1.

Also check out the Least Common Multiple of 55920 and 55933