What is the Greatest Common Factor of 95982 and 95997?

Greatest common factor (GCF) of 95982 and 95997 is 3.

GCF(95982,95997) = 3

We will now calculate the prime factors of 95982 and 95997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95982 and 95997.

How to find the GCF of 95982 and 95997?

We will first find the prime factorization of 95982 and 95997. After we will calculate the factors of 95982 and 95997 and find the biggest common factor number .

Step-1: Prime Factorization of 95982

Prime factors of 95982 are 2, 3, 17, 941. Prime factorization of 95982 in exponential form is:

95982 = 2¹ × 3¹ × 17¹ × 941¹

Step-2: Prime Factorization of 95997

Prime factors of 95997 are 3, 11, 2909. Prime factorization of 95997 in exponential form is:

95997 = 3¹ × 11¹ × 2909¹

Step-3: Factors of 95982

List of positive integer factors of 95982 that divides 95982 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 941, 1882, 2823, 5646, 15997, 31994, 47991

Step-4: Factors of 95997

List of positive integer factors of 95997 that divides 95982 without a remainder.

1, 3, 11, 33, 2909, 8727, 31999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95982 and 95997. The biggest common factor number is the GCF number.
So the greatest common factor 95982 and 95997 is 3.

Also check out the Least Common Multiple of 95982 and 95997