What is the Greatest Common Factor of 59568 and 59574?

Greatest common factor (GCF) of 59568 and 59574 is 6.

GCF(59568,59574) = 6

We will now calculate the prime factors of 59568 and 59574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59568 and 59574.

How to find the GCF of 59568 and 59574?

We will first find the prime factorization of 59568 and 59574. After we will calculate the factors of 59568 and 59574 and find the biggest common factor number .

Step-1: Prime Factorization of 59568

Prime factors of 59568 are 2, 3, 17, 73. Prime factorization of 59568 in exponential form is:

59568 = 2⁴ × 3¹ × 17¹ × 73¹

Step-2: Prime Factorization of 59574

Prime factors of 59574 are 2, 3, 9929. Prime factorization of 59574 in exponential form is:

59574 = 2¹ × 3¹ × 9929¹

Step-3: Factors of 59568

List of positive integer factors of 59568 that divides 59568 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 73, 102, 136, 146, 204, 219, 272, 292, 408, 438, 584, 816, 876, 1168, 1241, 1752, 2482, 3504, 3723, 4964, 7446, 9928, 14892, 19856, 29784

Step-4: Factors of 59574

List of positive integer factors of 59574 that divides 59568 without a remainder.

1, 2, 3, 6, 9929, 19858, 29787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59568 and 59574. The biggest common factor number is the GCF number.
So the greatest common factor 59568 and 59574 is 6.

Also check out the Least Common Multiple of 59568 and 59574