What is the Greatest Common Factor of 92985 and 92997?

Greatest common factor (GCF) of 92985 and 92997 is 3.

GCF(92985,92997) = 3

We will now calculate the prime factors of 92985 and 92997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92985 and 92997.

How to find the GCF of 92985 and 92997?

We will first find the prime factorization of 92985 and 92997. After we will calculate the factors of 92985 and 92997 and find the biggest common factor number .

Step-1: Prime Factorization of 92985

Prime factors of 92985 are 3, 5, 6199. Prime factorization of 92985 in exponential form is:

92985 = 3¹ × 5¹ × 6199¹

Step-2: Prime Factorization of 92997

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

92997 = 3² × 10333¹

Step-3: Factors of 92985

List of positive integer factors of 92985 that divides 92985 without a remainder.

1, 3, 5, 15, 6199, 18597, 30995

Step-4: Factors of 92997

List of positive integer factors of 92997 that divides 92985 without a remainder.

1, 3, 9, 10333, 30999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92985 and 92997. The biggest common factor number is the GCF number.
So the greatest common factor 92985 and 92997 is 3.

Also check out the Least Common Multiple of 92985 and 92997