What is the Greatest Common Factor of 59982 and 59993?

Greatest common factor (GCF) of 59982 and 59993 is 1.

GCF(59982,59993) = 1

We will now calculate the prime factors of 59982 and 59993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59982 and 59993.

How to find the GCF of 59982 and 59993?

We will first find the prime factorization of 59982 and 59993. After we will calculate the factors of 59982 and 59993 and find the biggest common factor number .

Step-1: Prime Factorization of 59982

Prime factors of 59982 are 2, 3, 13, 769. Prime factorization of 59982 in exponential form is:

59982 = 2¹ × 3¹ × 13¹ × 769¹

Step-2: Prime Factorization of 59993

Prime factors of 59993 are 17, 3529. Prime factorization of 59993 in exponential form is:

59993 = 17¹ × 3529¹

Step-3: Factors of 59982

List of positive integer factors of 59982 that divides 59982 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 769, 1538, 2307, 4614, 9997, 19994, 29991

Step-4: Factors of 59993

List of positive integer factors of 59993 that divides 59982 without a remainder.

1, 17, 3529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59982 and 59993. The biggest common factor number is the GCF number.
So the greatest common factor 59982 and 59993 is 1.

Also check out the Least Common Multiple of 59982 and 59993