What is the Greatest Common Factor of 85152 and 85158?

Greatest common factor (GCF) of 85152 and 85158 is 6.

GCF(85152,85158) = 6

We will now calculate the prime factors of 85152 and 85158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85152 and 85158.

How to find the GCF of 85152 and 85158?

We will first find the prime factorization of 85152 and 85158. After we will calculate the factors of 85152 and 85158 and find the biggest common factor number .

Step-1: Prime Factorization of 85152

Prime factors of 85152 are 2, 3, 887. Prime factorization of 85152 in exponential form is:

85152 = 2⁵ × 3¹ × 887¹

Step-2: Prime Factorization of 85158

Prime factors of 85158 are 2, 3, 19, 83. Prime factorization of 85158 in exponential form is:

85158 = 2¹ × 3³ × 19¹ × 83¹

Step-3: Factors of 85152

List of positive integer factors of 85152 that divides 85152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 887, 1774, 2661, 3548, 5322, 7096, 10644, 14192, 21288, 28384, 42576

Step-4: Factors of 85158

List of positive integer factors of 85158 that divides 85152 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 83, 114, 166, 171, 249, 342, 498, 513, 747, 1026, 1494, 1577, 2241, 3154, 4482, 4731, 9462, 14193, 28386, 42579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85152 and 85158. The biggest common factor number is the GCF number.
So the greatest common factor 85152 and 85158 is 6.

Also check out the Least Common Multiple of 85152 and 85158