What is the Greatest Common Factor of 86448 and 86456?

Greatest common factor (GCF) of 86448 and 86456 is 8.

GCF(86448,86456) = 8

We will now calculate the prime factors of 86448 and 86456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86448 and 86456.

How to find the GCF of 86448 and 86456?

We will first find the prime factorization of 86448 and 86456. After we will calculate the factors of 86448 and 86456 and find the biggest common factor number .

Step-1: Prime Factorization of 86448

Prime factors of 86448 are 2, 3, 1801. Prime factorization of 86448 in exponential form is:

86448 = 2⁴ × 3¹ × 1801¹

Step-2: Prime Factorization of 86456

Prime factors of 86456 are 2, 101, 107. Prime factorization of 86456 in exponential form is:

86456 = 2³ × 101¹ × 107¹

Step-3: Factors of 86448

List of positive integer factors of 86448 that divides 86448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1801, 3602, 5403, 7204, 10806, 14408, 21612, 28816, 43224

Step-4: Factors of 86456

List of positive integer factors of 86456 that divides 86448 without a remainder.

1, 2, 4, 8, 101, 107, 202, 214, 404, 428, 808, 856, 10807, 21614, 43228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86448 and 86456. The biggest common factor number is the GCF number.
So the greatest common factor 86448 and 86456 is 8.

Also check out the Least Common Multiple of 86448 and 86456