What is the Greatest Common Factor of 82017 and 82030?

Greatest common factor (GCF) of 82017 and 82030 is 13.

GCF(82017,82030) = 13

We will now calculate the prime factors of 82017 and 82030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82017 and 82030.

How to find the GCF of 82017 and 82030?

We will first find the prime factorization of 82017 and 82030. After we will calculate the factors of 82017 and 82030 and find the biggest common factor number .

Step-1: Prime Factorization of 82017

Prime factors of 82017 are 3, 13, 701. Prime factorization of 82017 in exponential form is:

82017 = 3² × 13¹ × 701¹

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 82017

List of positive integer factors of 82017 that divides 82017 without a remainder.

1, 3, 9, 13, 39, 117, 701, 2103, 6309, 9113, 27339

Step-4: Factors of 82030

List of positive integer factors of 82030 that divides 82017 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 82017 and 82030. The biggest common factor number is the GCF number.
So the greatest common factor 82017 and 82030 is 13.

Also check out the Least Common Multiple of 82017 and 82030