What is the Greatest Common Factor of 59904 and 59921?

Greatest common factor (GCF) of 59904 and 59921 is 1.

GCF(59904,59921) = 1

We will now calculate the prime factors of 59904 and 59921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59904 and 59921.

How to find the GCF of 59904 and 59921?

We will first find the prime factorization of 59904 and 59921. After we will calculate the factors of 59904 and 59921 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59921

Prime factors of 59921 are 59921. Prime factorization of 59921 in exponential form is:

59921 = 59921¹

Step-3: Factors of 59904

List of positive integer factors of 59904 that divides 59904 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

Step-4: Factors of 59921

List of positive integer factors of 59921 that divides 59904 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59904 and 59921. The biggest common factor number is the GCF number.
So the greatest common factor 59904 and 59921 is 1.

Also check out the Least Common Multiple of 59904 and 59921