What is the Greatest Common Factor of 59958 and 59977?

Greatest common factor (GCF) of 59958 and 59977 is 1.

GCF(59958,59977) = 1

We will now calculate the prime factors of 59958 and 59977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59958 and 59977.

How to find the GCF of 59958 and 59977?

We will first find the prime factorization of 59958 and 59977. After we will calculate the factors of 59958 and 59977 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59977

Prime factors of 59977 are 37, 1621. Prime factorization of 59977 in exponential form is:

59977 = 37¹ × 1621¹

Step-3: Factors of 59958

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

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

Step-4: Factors of 59977

List of positive integer factors of 59977 that divides 59958 without a remainder.

1, 37, 1621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59958 and 59977. The biggest common factor number is the GCF number.
So the greatest common factor 59958 and 59977 is 1.

Also check out the Least Common Multiple of 59958 and 59977