What is the Greatest Common Factor of 55905 and 55920?

Greatest common factor (GCF) of 55905 and 55920 is 15.

GCF(55905,55920) = 15

We will now calculate the prime factors of 55905 and 55920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55905 and 55920.

How to find the GCF of 55905 and 55920?

We will first find the prime factorization of 55905 and 55920. After we will calculate the factors of 55905 and 55920 and find the biggest common factor number .

Step-1: Prime Factorization of 55905

Prime factors of 55905 are 3, 5, 3727. Prime factorization of 55905 in exponential form is:

55905 = 3¹ × 5¹ × 3727¹

Step-2: 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-3: Factors of 55905

List of positive integer factors of 55905 that divides 55905 without a remainder.

1, 3, 5, 15, 3727, 11181, 18635

Step-4: Factors of 55920

List of positive integer factors of 55920 that divides 55905 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55905 and 55920. The biggest common factor number is the GCF number.
So the greatest common factor 55905 and 55920 is 15.

Also check out the Least Common Multiple of 55905 and 55920