What is the Greatest Common Factor of 55920 and 55928?

Greatest common factor (GCF) of 55920 and 55928 is 8.

GCF(55920,55928) = 8

We will now calculate the prime factors of 55920 and 55928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55920 and 55928.

How to find the GCF of 55920 and 55928?

We will first find the prime factorization of 55920 and 55928. After we will calculate the factors of 55920 and 55928 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 55928

Prime factors of 55928 are 2, 6991. Prime factorization of 55928 in exponential form is:

55928 = 2³ × 6991¹

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 55928

List of positive integer factors of 55928 that divides 55920 without a remainder.

1, 2, 4, 8, 6991, 13982, 27964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55920 and 55928. The biggest common factor number is the GCF number.
So the greatest common factor 55920 and 55928 is 8.

Also check out the Least Common Multiple of 55920 and 55928