What is the Greatest Common Factor of 55920 and 55929?

Greatest common factor (GCF) of 55920 and 55929 is 3.

GCF(55920,55929) = 3

We will now calculate the prime factors of 55920 and 55929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55920 and 55929.

How to find the GCF of 55920 and 55929?

We will first find the prime factorization of 55920 and 55929. After we will calculate the factors of 55920 and 55929 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 55929

Prime factors of 55929 are 3, 103, 181. Prime factorization of 55929 in exponential form is:

55929 = 3¹ × 103¹ × 181¹

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 55929

List of positive integer factors of 55929 that divides 55920 without a remainder.

1, 3, 103, 181, 309, 543, 18643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55920 and 55929. The biggest common factor number is the GCF number.
So the greatest common factor 55920 and 55929 is 3.

Also check out the Least Common Multiple of 55920 and 55929