What is the Greatest Common Factor of 95967 and 95982?

Greatest common factor (GCF) of 95967 and 95982 is 3.

GCF(95967,95982) = 3

We will now calculate the prime factors of 95967 and 95982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95967 and 95982.

How to find the GCF of 95967 and 95982?

We will first find the prime factorization of 95967 and 95982. After we will calculate the factors of 95967 and 95982 and find the biggest common factor number .

Step-1: Prime Factorization of 95967

Prime factors of 95967 are 3, 10663. Prime factorization of 95967 in exponential form is:

95967 = 3² × 10663¹

Step-2: 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-3: Factors of 95967

List of positive integer factors of 95967 that divides 95967 without a remainder.

1, 3, 9, 10663, 31989

Step-4: Factors of 95982

List of positive integer factors of 95982 that divides 95967 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95967 and 95982. The biggest common factor number is the GCF number.
So the greatest common factor 95967 and 95982 is 3.

Also check out the Least Common Multiple of 95967 and 95982