What is the Greatest Common Factor of 59886 and 59904?

Greatest common factor (GCF) of 59886 and 59904 is 18.

GCF(59886,59904) = 18

We will now calculate the prime factors of 59886 and 59904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59886 and 59904.

How to find the GCF of 59886 and 59904?

We will first find the prime factorization of 59886 and 59904. After we will calculate the factors of 59886 and 59904 and find the biggest common factor number .

Step-1: Prime Factorization of 59886

Prime factors of 59886 are 2, 3, 1109. Prime factorization of 59886 in exponential form is:

59886 = 2¹ × 3³ × 1109¹

Step-2: Prime Factorization of 59904

Prime factors of 59904 are 2, 3, 13. Prime factorization of 59904 in exponential form is:

59904 = 2⁹ × 3² × 13¹

Step-3: Factors of 59886

List of positive integer factors of 59886 that divides 59886 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1109, 2218, 3327, 6654, 9981, 19962, 29943

Step-4: Factors of 59904

List of positive integer factors of 59904 that divides 59886 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 128, 144, 156, 192, 208, 234, 256, 288, 312, 384, 416, 468, 512, 576, 624, 768, 832, 936, 1152, 1248, 1536, 1664, 1872, 2304, 2496, 3328, 3744, 4608, 4992, 6656, 7488, 9984, 14976, 19968, 29952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59886 and 59904. The biggest common factor number is the GCF number.
So the greatest common factor 59886 and 59904 is 18.

Also check out the Least Common Multiple of 59886 and 59904