What is the Greatest Common Factor of 82034 and 82038?

Greatest common factor (GCF) of 82034 and 82038 is 2.

GCF(82034,82038) = 2

We will now calculate the prime factors of 82034 and 82038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82034 and 82038.

How to find the GCF of 82034 and 82038?

We will first find the prime factorization of 82034 and 82038. After we will calculate the factors of 82034 and 82038 and find the biggest common factor number .

Step-1: Prime Factorization of 82034

Prime factors of 82034 are 2, 41017. Prime factorization of 82034 in exponential form is:

82034 = 2¹ × 41017¹

Step-2: Prime Factorization of 82038

Prime factors of 82038 are 2, 3, 11, 113. Prime factorization of 82038 in exponential form is:

82038 = 2¹ × 3¹ × 11² × 113¹

Step-3: Factors of 82034

List of positive integer factors of 82034 that divides 82034 without a remainder.

1, 2, 41017

Step-4: Factors of 82038

List of positive integer factors of 82038 that divides 82034 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 113, 121, 226, 242, 339, 363, 678, 726, 1243, 2486, 3729, 7458, 13673, 27346, 41019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82034 and 82038. The biggest common factor number is the GCF number.
So the greatest common factor 82034 and 82038 is 2.

Also check out the Least Common Multiple of 82034 and 82038