What is the Greatest Common Factor of 59890 and 59904?

Greatest common factor (GCF) of 59890 and 59904 is 2.

GCF(59890,59904) = 2

We will now calculate the prime factors of 59890 and 59904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59890 and 59904.

How to find the GCF of 59890 and 59904?

We will first find the prime factorization of 59890 and 59904. After we will calculate the factors of 59890 and 59904 and find the biggest common factor number .

Step-1: Prime Factorization of 59890

Prime factors of 59890 are 2, 5, 53, 113. Prime factorization of 59890 in exponential form is:

59890 = 2¹ × 5¹ × 53¹ × 113¹

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 59890

List of positive integer factors of 59890 that divides 59890 without a remainder.

1, 2, 5, 10, 53, 106, 113, 226, 265, 530, 565, 1130, 5989, 11978, 29945

Step-4: Factors of 59904

List of positive integer factors of 59904 that divides 59890 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 59890 and 59904. The biggest common factor number is the GCF number.
So the greatest common factor 59890 and 59904 is 2.

Also check out the Least Common Multiple of 59890 and 59904