What is the Greatest Common Factor of 95982 and 95999?

Greatest common factor (GCF) of 95982 and 95999 is 17.

GCF(95982,95999) = 17

We will now calculate the prime factors of 95982 and 95999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95982 and 95999.

How to find the GCF of 95982 and 95999?

We will first find the prime factorization of 95982 and 95999. After we will calculate the factors of 95982 and 95999 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 95999

Prime factors of 95999 are 17, 5647. Prime factorization of 95999 in exponential form is:

95999 = 17¹ × 5647¹

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 95999

List of positive integer factors of 95999 that divides 95982 without a remainder.

1, 17, 5647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95982 and 95999. The biggest common factor number is the GCF number.
So the greatest common factor 95982 and 95999 is 17.

Also check out the Least Common Multiple of 95982 and 95999