What is the Greatest Common Factor of 82010 and 82021?

Greatest common factor (GCF) of 82010 and 82021 is 1.

GCF(82010,82021) = 1

We will now calculate the prime factors of 82010 and 82021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82010 and 82021.

How to find the GCF of 82010 and 82021?

We will first find the prime factorization of 82010 and 82021. After we will calculate the factors of 82010 and 82021 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 82021

Prime factors of 82021 are 82021. Prime factorization of 82021 in exponential form is:

82021 = 82021¹

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 82021

List of positive integer factors of 82021 that divides 82010 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82010 and 82021. The biggest common factor number is the GCF number.
So the greatest common factor 82010 and 82021 is 1.

Also check out the Least Common Multiple of 82010 and 82021