What is the Greatest Common Factor of 59939 and 59958?

Greatest common factor (GCF) of 59939 and 59958 is 1.

GCF(59939,59958) = 1

We will now calculate the prime factors of 59939 and 59958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59939 and 59958.

How to find the GCF of 59939 and 59958?

We will first find the prime factorization of 59939 and 59958. After we will calculate the factors of 59939 and 59958 and find the biggest common factor number .

Step-1: Prime Factorization of 59939

Prime factors of 59939 are 11, 5449. Prime factorization of 59939 in exponential form is:

59939 = 11¹ × 5449¹

Step-2: Prime Factorization of 59958

Prime factors of 59958 are 2, 3, 3331. Prime factorization of 59958 in exponential form is:

59958 = 2¹ × 3² × 3331¹

Step-3: Factors of 59939

List of positive integer factors of 59939 that divides 59939 without a remainder.

1, 11, 5449

Step-4: Factors of 59958

List of positive integer factors of 59958 that divides 59939 without a remainder.

1, 2, 3, 6, 9, 18, 3331, 6662, 9993, 19986, 29979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59939 and 59958. The biggest common factor number is the GCF number.
So the greatest common factor 59939 and 59958 is 1.

Also check out the Least Common Multiple of 59939 and 59958