What is the Greatest Common Factor of 86448 and 86454?

Greatest common factor (GCF) of 86448 and 86454 is 6.

GCF(86448,86454) = 6

We will now calculate the prime factors of 86448 and 86454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86448 and 86454.

How to find the GCF of 86448 and 86454?

We will first find the prime factorization of 86448 and 86454. After we will calculate the factors of 86448 and 86454 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 86454

Prime factors of 86454 are 2, 3, 1601. Prime factorization of 86454 in exponential form is:

86454 = 2¹ × 3³ × 1601¹

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 86454

List of positive integer factors of 86454 that divides 86448 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1601, 3202, 4803, 9606, 14409, 28818, 43227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86448 and 86454. The biggest common factor number is the GCF number.
So the greatest common factor 86448 and 86454 is 6.

Also check out the Least Common Multiple of 86448 and 86454