What is the Greatest Common Factor of 92997 and 93009?

Greatest common factor (GCF) of 92997 and 93009 is 3.

GCF(92997,93009) = 3

We will now calculate the prime factors of 92997 and 93009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92997 and 93009.

How to find the GCF of 92997 and 93009?

We will first find the prime factorization of 92997 and 93009. After we will calculate the factors of 92997 and 93009 and find the biggest common factor number .

Step-1: Prime Factorization of 92997

Prime factors of 92997 are 3, 10333. Prime factorization of 92997 in exponential form is:

92997 = 3² × 10333¹

Step-2: Prime Factorization of 93009

Prime factors of 93009 are 3, 7, 43, 103. Prime factorization of 93009 in exponential form is:

93009 = 3¹ × 7¹ × 43¹ × 103¹

Step-3: Factors of 92997

List of positive integer factors of 92997 that divides 92997 without a remainder.

1, 3, 9, 10333, 30999

Step-4: Factors of 93009

List of positive integer factors of 93009 that divides 92997 without a remainder.

1, 3, 7, 21, 43, 103, 129, 301, 309, 721, 903, 2163, 4429, 13287, 31003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92997 and 93009. The biggest common factor number is the GCF number.
So the greatest common factor 92997 and 93009 is 3.

Also check out the Least Common Multiple of 92997 and 93009