What is the Greatest Common Factor of 95934 and 95946?

Greatest common factor (GCF) of 95934 and 95946 is 6.

GCF(95934,95946) = 6

We will now calculate the prime factors of 95934 and 95946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95934 and 95946.

How to find the GCF of 95934 and 95946?

We will first find the prime factorization of 95934 and 95946. After we will calculate the factors of 95934 and 95946 and find the biggest common factor number .

Step-1: Prime Factorization of 95934

Prime factors of 95934 are 2, 3, 59, 271. Prime factorization of 95934 in exponential form is:

95934 = 2¹ × 3¹ × 59¹ × 271¹

Step-2: Prime Factorization of 95946

Prime factors of 95946 are 2, 3, 15991. Prime factorization of 95946 in exponential form is:

95946 = 2¹ × 3¹ × 15991¹

Step-3: Factors of 95934

List of positive integer factors of 95934 that divides 95934 without a remainder.

1, 2, 3, 6, 59, 118, 177, 271, 354, 542, 813, 1626, 15989, 31978, 47967

Step-4: Factors of 95946

List of positive integer factors of 95946 that divides 95934 without a remainder.

1, 2, 3, 6, 15991, 31982, 47973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95934 and 95946. The biggest common factor number is the GCF number.
So the greatest common factor 95934 and 95946 is 6.

Also check out the Least Common Multiple of 95934 and 95946