What is the Greatest Common Factor of 86048 and 86054?

Greatest common factor (GCF) of 86048 and 86054 is 2.

GCF(86048,86054) = 2

We will now calculate the prime factors of 86048 and 86054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86048 and 86054.

How to find the GCF of 86048 and 86054?

We will first find the prime factorization of 86048 and 86054. After we will calculate the factors of 86048 and 86054 and find the biggest common factor number .

Step-1: Prime Factorization of 86048

Prime factors of 86048 are 2, 2689. Prime factorization of 86048 in exponential form is:

86048 = 2⁵ × 2689¹

Step-2: Prime Factorization of 86054

Prime factors of 86054 are 2, 17, 2531. Prime factorization of 86054 in exponential form is:

86054 = 2¹ × 17¹ × 2531¹

Step-3: Factors of 86048

List of positive integer factors of 86048 that divides 86048 without a remainder.

1, 2, 4, 8, 16, 32, 2689, 5378, 10756, 21512, 43024

Step-4: Factors of 86054

List of positive integer factors of 86054 that divides 86048 without a remainder.

1, 2, 17, 34, 2531, 5062, 43027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86048 and 86054. The biggest common factor number is the GCF number.
So the greatest common factor 86048 and 86054 is 2.

Also check out the Least Common Multiple of 86048 and 86054