What is the Greatest Common Factor of 82038 and 82050?

Greatest common factor (GCF) of 82038 and 82050 is 6.

GCF(82038,82050) = 6

We will now calculate the prime factors of 82038 and 82050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82038 and 82050.

How to find the GCF of 82038 and 82050?

We will first find the prime factorization of 82038 and 82050. After we will calculate the factors of 82038 and 82050 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 82050

Prime factors of 82050 are 2, 3, 5, 547. Prime factorization of 82050 in exponential form is:

82050 = 2¹ × 3¹ × 5² × 547¹

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 82050

List of positive integer factors of 82050 that divides 82038 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 547, 1094, 1641, 2735, 3282, 5470, 8205, 13675, 16410, 27350, 41025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82038 and 82050. The biggest common factor number is the GCF number.
So the greatest common factor 82038 and 82050 is 6.

Also check out the Least Common Multiple of 82038 and 82050