What is the Greatest Common Factor of 82044 and 82048?

Greatest common factor (GCF) of 82044 and 82048 is 4.

GCF(82044,82048) = 4

We will now calculate the prime factors of 82044 and 82048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82044 and 82048.

How to find the GCF of 82044 and 82048?

We will first find the prime factorization of 82044 and 82048. After we will calculate the factors of 82044 and 82048 and find the biggest common factor number .

Step-1: Prime Factorization of 82044

Prime factors of 82044 are 2, 3, 43, 53. Prime factorization of 82044 in exponential form is:

82044 = 2² × 3² × 43¹ × 53¹

Step-2: Prime Factorization of 82048

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

82048 = 2⁷ × 641¹

Step-3: Factors of 82044

List of positive integer factors of 82044 that divides 82044 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 53, 86, 106, 129, 159, 172, 212, 258, 318, 387, 477, 516, 636, 774, 954, 1548, 1908, 2279, 4558, 6837, 9116, 13674, 20511, 27348, 41022

Step-4: Factors of 82048

List of positive integer factors of 82048 that divides 82044 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82044 and 82048. The biggest common factor number is the GCF number.
So the greatest common factor 82044 and 82048 is 4.

Also check out the Least Common Multiple of 82044 and 82048