What is the Greatest Common Factor of 59574 and 59592?

Greatest common factor (GCF) of 59574 and 59592 is 6.

GCF(59574,59592) = 6

We will now calculate the prime factors of 59574 and 59592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59574 and 59592.

How to find the GCF of 59574 and 59592?

We will first find the prime factorization of 59574 and 59592. After we will calculate the factors of 59574 and 59592 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59592

Prime factors of 59592 are 2, 3, 13, 191. Prime factorization of 59592 in exponential form is:

59592 = 2³ × 3¹ × 13¹ × 191¹

Step-3: Factors of 59574

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

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

Step-4: Factors of 59592

List of positive integer factors of 59592 that divides 59574 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 191, 312, 382, 573, 764, 1146, 1528, 2292, 2483, 4584, 4966, 7449, 9932, 14898, 19864, 29796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59574 and 59592. The biggest common factor number is the GCF number.
So the greatest common factor 59574 and 59592 is 6.

Also check out the Least Common Multiple of 59574 and 59592