What is the Greatest Common Factor of 82010 and 82028?

Greatest common factor (GCF) of 82010 and 82028 is 2.

GCF(82010,82028) = 2

We will now calculate the prime factors of 82010 and 82028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82010 and 82028.

How to find the GCF of 82010 and 82028?

We will first find the prime factorization of 82010 and 82028. After we will calculate the factors of 82010 and 82028 and find the biggest common factor number .

Step-1: Prime Factorization of 82010

Prime factors of 82010 are 2, 5, 59, 139. Prime factorization of 82010 in exponential form is:

82010 = 2¹ × 5¹ × 59¹ × 139¹

Step-2: Prime Factorization of 82028

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

82028 = 2² × 20507¹

Step-3: Factors of 82010

List of positive integer factors of 82010 that divides 82010 without a remainder.

1, 2, 5, 10, 59, 118, 139, 278, 295, 590, 695, 1390, 8201, 16402, 41005

Step-4: Factors of 82028

List of positive integer factors of 82028 that divides 82010 without a remainder.

1, 2, 4, 20507, 41014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82010 and 82028. The biggest common factor number is the GCF number.
So the greatest common factor 82010 and 82028 is 2.

Also check out the Least Common Multiple of 82010 and 82028