What is the Greatest Common Factor of 95858 and 95872?

Greatest common factor (GCF) of 95858 and 95872 is 14.

GCF(95858,95872) = 14

We will now calculate the prime factors of 95858 and 95872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95858 and 95872.

How to find the GCF of 95858 and 95872?

We will first find the prime factorization of 95858 and 95872. After we will calculate the factors of 95858 and 95872 and find the biggest common factor number .

Step-1: Prime Factorization of 95858

Prime factors of 95858 are 2, 7, 41, 167. Prime factorization of 95858 in exponential form is:

95858 = 2¹ × 7¹ × 41¹ × 167¹

Step-2: Prime Factorization of 95872

Prime factors of 95872 are 2, 7, 107. Prime factorization of 95872 in exponential form is:

95872 = 2⁷ × 7¹ × 107¹

Step-3: Factors of 95858

List of positive integer factors of 95858 that divides 95858 without a remainder.

1, 2, 7, 14, 41, 82, 167, 287, 334, 574, 1169, 2338, 6847, 13694, 47929

Step-4: Factors of 95872

List of positive integer factors of 95872 that divides 95858 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 107, 112, 128, 214, 224, 428, 448, 749, 856, 896, 1498, 1712, 2996, 3424, 5992, 6848, 11984, 13696, 23968, 47936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95858 and 95872. The biggest common factor number is the GCF number.
So the greatest common factor 95858 and 95872 is 14.

Also check out the Least Common Multiple of 95858 and 95872