What is the Greatest Common Factor of 82048 and 82058?

Greatest common factor (GCF) of 82048 and 82058 is 2.

GCF(82048,82058) = 2

We will now calculate the prime factors of 82048 and 82058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82048 and 82058.

How to find the GCF of 82048 and 82058?

We will first find the prime factorization of 82048 and 82058. After we will calculate the factors of 82048 and 82058 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 82058

Prime factors of 82058 are 2, 89, 461. Prime factorization of 82058 in exponential form is:

82058 = 2¹ × 89¹ × 461¹

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 82058

List of positive integer factors of 82058 that divides 82048 without a remainder.

1, 2, 89, 178, 461, 922, 41029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82048 and 82058. The biggest common factor number is the GCF number.
So the greatest common factor 82048 and 82058 is 2.

Also check out the Least Common Multiple of 82048 and 82058