What is the Greatest Common Factor of 82048 and 82067?

Greatest common factor (GCF) of 82048 and 82067 is 1.

GCF(82048,82067) = 1

We will now calculate the prime factors of 82048 and 82067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82048 and 82067.

How to find the GCF of 82048 and 82067?

We will first find the prime factorization of 82048 and 82067. After we will calculate the factors of 82048 and 82067 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 82067

Prime factors of 82067 are 82067. Prime factorization of 82067 in exponential form is:

82067 = 82067¹

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 82067

List of positive integer factors of 82067 that divides 82048 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82048 and 82067. The biggest common factor number is the GCF number.
So the greatest common factor 82048 and 82067 is 1.

Also check out the Least Common Multiple of 82048 and 82067