What is the Greatest Common Factor of 59991 and 60009?

Greatest common factor (GCF) of 59991 and 60009 is 3.

GCF(59991,60009) = 3

We will now calculate the prime factors of 59991 and 60009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59991 and 60009.

How to find the GCF of 59991 and 60009?

We will first find the prime factorization of 59991 and 60009. After we will calculate the factors of 59991 and 60009 and find the biggest common factor number .

Step-1: Prime Factorization of 59991

Prime factors of 59991 are 3, 19997. Prime factorization of 59991 in exponential form is:

59991 = 3¹ × 19997¹

Step-2: Prime Factorization of 60009

Prime factors of 60009 are 3, 83, 241. Prime factorization of 60009 in exponential form is:

60009 = 3¹ × 83¹ × 241¹

Step-3: Factors of 59991

List of positive integer factors of 59991 that divides 59991 without a remainder.

1, 3, 19997

Step-4: Factors of 60009

List of positive integer factors of 60009 that divides 59991 without a remainder.

1, 3, 83, 241, 249, 723, 20003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59991 and 60009. The biggest common factor number is the GCF number.
So the greatest common factor 59991 and 60009 is 3.

Also check out the Least Common Multiple of 59991 and 60009