What is the Greatest Common Factor of 95928 and 95946?

Greatest common factor (GCF) of 95928 and 95946 is 6.

GCF(95928,95946) = 6

We will now calculate the prime factors of 95928 and 95946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95928 and 95946.

How to find the GCF of 95928 and 95946?

We will first find the prime factorization of 95928 and 95946. After we will calculate the factors of 95928 and 95946 and find the biggest common factor number .

Step-1: Prime Factorization of 95928

Prime factors of 95928 are 2, 3, 7, 571. Prime factorization of 95928 in exponential form is:

95928 = 2³ × 3¹ × 7¹ × 571¹

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 95928

List of positive integer factors of 95928 that divides 95928 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 571, 1142, 1713, 2284, 3426, 3997, 4568, 6852, 7994, 11991, 13704, 15988, 23982, 31976, 47964

Step-4: Factors of 95946

List of positive integer factors of 95946 that divides 95928 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95928 and 95946. The biggest common factor number is the GCF number.
So the greatest common factor 95928 and 95946 is 6.

Also check out the Least Common Multiple of 95928 and 95946