What is the Greatest Common Factor of 59891 and 59904?

Greatest common factor (GCF) of 59891 and 59904 is 13.

GCF(59891,59904) = 13

We will now calculate the prime factors of 59891 and 59904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59891 and 59904.

How to find the GCF of 59891 and 59904?

We will first find the prime factorization of 59891 and 59904. After we will calculate the factors of 59891 and 59904 and find the biggest common factor number .

Step-1: Prime Factorization of 59891

Prime factors of 59891 are 13, 17, 271. Prime factorization of 59891 in exponential form is:

59891 = 13¹ × 17¹ × 271¹

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 59891

List of positive integer factors of 59891 that divides 59891 without a remainder.

1, 13, 17, 221, 271, 3523, 4607

Step-4: Factors of 59904

List of positive integer factors of 59904 that divides 59891 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 59891 and 59904. The biggest common factor number is the GCF number.
So the greatest common factor 59891 and 59904 is 13.

Also check out the Least Common Multiple of 59891 and 59904