What is the Greatest Common Factor of 82048 and 82054?

Greatest common factor (GCF) of 82048 and 82054 is 2.

GCF(82048,82054) = 2

We will now calculate the prime factors of 82048 and 82054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82048 and 82054.

How to find the GCF of 82048 and 82054?

We will first find the prime factorization of 82048 and 82054. After we will calculate the factors of 82048 and 82054 and find the biggest common factor number .

Step-1: Prime Factorization of 82048

Prime factors of 82048 are 2, 641. Prime factorization of 82048 in exponential form is:

82048 = 2⁷ × 641¹

Step-2: Prime Factorization of 82054

Prime factors of 82054 are 2, 7, 5861. Prime factorization of 82054 in exponential form is:

82054 = 2¹ × 7¹ × 5861¹

Step-3: Factors of 82048

List of positive integer factors of 82048 that divides 82048 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 641, 1282, 2564, 5128, 10256, 20512, 41024

Step-4: Factors of 82054

List of positive integer factors of 82054 that divides 82048 without a remainder.

1, 2, 7, 14, 5861, 11722, 41027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82048 and 82054. The biggest common factor number is the GCF number.
So the greatest common factor 82048 and 82054 is 2.

Also check out the Least Common Multiple of 82048 and 82054