What is the Greatest Common Factor of 82010 and 82030?

Greatest common factor (GCF) of 82010 and 82030 is 10.

GCF(82010,82030) = 10

We will now calculate the prime factors of 82010 and 82030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82010 and 82030.

How to find the GCF of 82010 and 82030?

We will first find the prime factorization of 82010 and 82030. After we will calculate the factors of 82010 and 82030 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 82030

Prime factors of 82030 are 2, 5, 13, 631. Prime factorization of 82030 in exponential form is:

82030 = 2¹ × 5¹ × 13¹ × 631¹

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 82030

List of positive integer factors of 82030 that divides 82010 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 631, 1262, 3155, 6310, 8203, 16406, 41015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82010 and 82030. The biggest common factor number is the GCF number.
So the greatest common factor 82010 and 82030 is 10.

Also check out the Least Common Multiple of 82010 and 82030