What is the Greatest Common Factor of 59568 and 59588?

Greatest common factor (GCF) of 59568 and 59588 is 4.

GCF(59568,59588) = 4

We will now calculate the prime factors of 59568 and 59588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59568 and 59588.

How to find the GCF of 59568 and 59588?

We will first find the prime factorization of 59568 and 59588. After we will calculate the factors of 59568 and 59588 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 59588

Prime factors of 59588 are 2, 14897. Prime factorization of 59588 in exponential form is:

59588 = 2² × 14897¹

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 59588

List of positive integer factors of 59588 that divides 59568 without a remainder.

1, 2, 4, 14897, 29794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59568 and 59588. The biggest common factor number is the GCF number.
So the greatest common factor 59568 and 59588 is 4.

Also check out the Least Common Multiple of 59568 and 59588