What is the Greatest Common Factor of 95928 and 95943?

Greatest common factor (GCF) of 95928 and 95943 is 3.

GCF(95928,95943) = 3

We will now calculate the prime factors of 95928 and 95943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95928 and 95943.

How to find the GCF of 95928 and 95943?

We will first find the prime factorization of 95928 and 95943. After we will calculate the factors of 95928 and 95943 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 95943

Prime factors of 95943 are 3, 31981. Prime factorization of 95943 in exponential form is:

95943 = 3¹ × 31981¹

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 95943

List of positive integer factors of 95943 that divides 95928 without a remainder.

1, 3, 31981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95928 and 95943. The biggest common factor number is the GCF number.
So the greatest common factor 95928 and 95943 is 3.

Also check out the Least Common Multiple of 95928 and 95943