What is the Greatest Common Factor of 82028 and 82032?

Greatest common factor (GCF) of 82028 and 82032 is 4.

GCF(82028,82032) = 4

We will now calculate the prime factors of 82028 and 82032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82028 and 82032.

How to find the GCF of 82028 and 82032?

We will first find the prime factorization of 82028 and 82032. After we will calculate the factors of 82028 and 82032 and find the biggest common factor number .

Step-1: Prime Factorization of 82028

Prime factors of 82028 are 2, 20507. Prime factorization of 82028 in exponential form is:

82028 = 2² × 20507¹

Step-2: Prime Factorization of 82032

Prime factors of 82032 are 2, 3, 1709. Prime factorization of 82032 in exponential form is:

82032 = 2⁴ × 3¹ × 1709¹

Step-3: Factors of 82028

List of positive integer factors of 82028 that divides 82028 without a remainder.

1, 2, 4, 20507, 41014

Step-4: Factors of 82032

List of positive integer factors of 82032 that divides 82028 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1709, 3418, 5127, 6836, 10254, 13672, 20508, 27344, 41016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82028 and 82032. The biggest common factor number is the GCF number.
So the greatest common factor 82028 and 82032 is 4.

Also check out the Least Common Multiple of 82028 and 82032