What is the Greatest Common Factor of 59993 and 60003?

Greatest common factor (GCF) of 59993 and 60003 is 1.

GCF(59993,60003) = 1

We will now calculate the prime factors of 59993 and 60003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59993 and 60003.

How to find the GCF of 59993 and 60003?

We will first find the prime factorization of 59993 and 60003. After we will calculate the factors of 59993 and 60003 and find the biggest common factor number .

Step-1: Prime Factorization of 59993

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

59993 = 17¹ × 3529¹

Step-2: Prime Factorization of 60003

Prime factors of 60003 are 3, 59, 113. Prime factorization of 60003 in exponential form is:

60003 = 3² × 59¹ × 113¹

Step-3: Factors of 59993

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

1, 17, 3529

Step-4: Factors of 60003

List of positive integer factors of 60003 that divides 59993 without a remainder.

1, 3, 9, 59, 113, 177, 339, 531, 1017, 6667, 20001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59993 and 60003. The biggest common factor number is the GCF number.
So the greatest common factor 59993 and 60003 is 1.

Also check out the Least Common Multiple of 59993 and 60003