What is the Greatest Common Factor of 86216 and 86232?

Greatest common factor (GCF) of 86216 and 86232 is 8.

GCF(86216,86232) = 8

We will now calculate the prime factors of 86216 and 86232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86216 and 86232.

How to find the GCF of 86216 and 86232?

We will first find the prime factorization of 86216 and 86232. After we will calculate the factors of 86216 and 86232 and find the biggest common factor number .

Step-1: Prime Factorization of 86216

Prime factors of 86216 are 2, 13, 829. Prime factorization of 86216 in exponential form is:

86216 = 2³ × 13¹ × 829¹

Step-2: Prime Factorization of 86232

Prime factors of 86232 are 2, 3, 3593. Prime factorization of 86232 in exponential form is:

86232 = 2³ × 3¹ × 3593¹

Step-3: Factors of 86216

List of positive integer factors of 86216 that divides 86216 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 829, 1658, 3316, 6632, 10777, 21554, 43108

Step-4: Factors of 86232

List of positive integer factors of 86232 that divides 86216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3593, 7186, 10779, 14372, 21558, 28744, 43116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86216 and 86232. The biggest common factor number is the GCF number.
So the greatest common factor 86216 and 86232 is 8.

Also check out the Least Common Multiple of 86216 and 86232