What is the Greatest Common Factor of 82038 and 82049?

Greatest common factor (GCF) of 82038 and 82049 is 11.

GCF(82038,82049) = 11

We will now calculate the prime factors of 82038 and 82049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82038 and 82049.

How to find the GCF of 82038 and 82049?

We will first find the prime factorization of 82038 and 82049. After we will calculate the factors of 82038 and 82049 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82049

Prime factors of 82049 are 11, 7459. Prime factorization of 82049 in exponential form is:

82049 = 11¹ × 7459¹

Step-3: Factors of 82038

List of positive integer factors of 82038 that divides 82038 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

Step-4: Factors of 82049

List of positive integer factors of 82049 that divides 82038 without a remainder.

1, 11, 7459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82038 and 82049. The biggest common factor number is the GCF number.
So the greatest common factor 82038 and 82049 is 11.

Also check out the Least Common Multiple of 82038 and 82049