What is the Greatest Common Factor of 59596 and 59609?

Greatest common factor (GCF) of 59596 and 59609 is 1.

GCF(59596,59609) = 1

We will now calculate the prime factors of 59596 and 59609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59596 and 59609.

How to find the GCF of 59596 and 59609?

We will first find the prime factorization of 59596 and 59609. After we will calculate the factors of 59596 and 59609 and find the biggest common factor number .

Step-1: Prime Factorization of 59596

Prime factors of 59596 are 2, 47, 317. Prime factorization of 59596 in exponential form is:

59596 = 2² × 47¹ × 317¹

Step-2: Prime Factorization of 59609

Prime factors of 59609 are 11, 5419. Prime factorization of 59609 in exponential form is:

59609 = 11¹ × 5419¹

Step-3: Factors of 59596

List of positive integer factors of 59596 that divides 59596 without a remainder.

1, 2, 4, 47, 94, 188, 317, 634, 1268, 14899, 29798

Step-4: Factors of 59609

List of positive integer factors of 59609 that divides 59596 without a remainder.

1, 11, 5419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59596 and 59609. The biggest common factor number is the GCF number.
So the greatest common factor 59596 and 59609 is 1.

Also check out the Least Common Multiple of 59596 and 59609