What is the Greatest Common Factor of 55920 and 55930?

Greatest common factor (GCF) of 55920 and 55930 is 10.

GCF(55920,55930) = 10

We will now calculate the prime factors of 55920 and 55930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55920 and 55930.

How to find the GCF of 55920 and 55930?

We will first find the prime factorization of 55920 and 55930. After we will calculate the factors of 55920 and 55930 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 55930

Prime factors of 55930 are 2, 5, 7, 17, 47. Prime factorization of 55930 in exponential form is:

55930 = 2¹ × 5¹ × 7¹ × 17¹ × 47¹

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 55930

List of positive integer factors of 55930 that divides 55920 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 47, 70, 85, 94, 119, 170, 235, 238, 329, 470, 595, 658, 799, 1190, 1598, 1645, 3290, 3995, 5593, 7990, 11186, 27965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55920 and 55930. The biggest common factor number is the GCF number.
So the greatest common factor 55920 and 55930 is 10.

Also check out the Least Common Multiple of 55920 and 55930