What is the Greatest Common Factor of 95844 and 95858?

Greatest common factor (GCF) of 95844 and 95858 is 14.

GCF(95844,95858) = 14

We will now calculate the prime factors of 95844 and 95858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95844 and 95858.

How to find the GCF of 95844 and 95858?

We will first find the prime factorization of 95844 and 95858. After we will calculate the factors of 95844 and 95858 and find the biggest common factor number .

Step-1: Prime Factorization of 95844

Prime factors of 95844 are 2, 3, 7, 163. Prime factorization of 95844 in exponential form is:

95844 = 2² × 3¹ × 7² × 163¹

Step-2: 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-3: Factors of 95844

List of positive integer factors of 95844 that divides 95844 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 163, 196, 294, 326, 489, 588, 652, 978, 1141, 1956, 2282, 3423, 4564, 6846, 7987, 13692, 15974, 23961, 31948, 47922

Step-4: Factors of 95858

List of positive integer factors of 95858 that divides 95844 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95844 and 95858. The biggest common factor number is the GCF number.
So the greatest common factor 95844 and 95858 is 14.

Also check out the Least Common Multiple of 95844 and 95858