What is the Greatest Common Factor of 95946 and 95952?

Greatest common factor (GCF) of 95946 and 95952 is 6.

GCF(95946,95952) = 6

We will now calculate the prime factors of 95946 and 95952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95946 and 95952.

How to find the GCF of 95946 and 95952?

We will first find the prime factorization of 95946 and 95952. After we will calculate the factors of 95946 and 95952 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95952

Prime factors of 95952 are 2, 3, 1999. Prime factorization of 95952 in exponential form is:

95952 = 2⁴ × 3¹ × 1999¹

Step-3: Factors of 95946

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

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

Step-4: Factors of 95952

List of positive integer factors of 95952 that divides 95946 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1999, 3998, 5997, 7996, 11994, 15992, 23988, 31984, 47976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95946 and 95952. The biggest common factor number is the GCF number.
So the greatest common factor 95946 and 95952 is 6.

Also check out the Least Common Multiple of 95946 and 95952