What is the Greatest Common Factor of 82838 and 82856?

Greatest common factor (GCF) of 82838 and 82856 is 2.

GCF(82838,82856) = 2

We will now calculate the prime factors of 82838 and 82856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82838 and 82856.

How to find the GCF of 82838 and 82856?

We will first find the prime factorization of 82838 and 82856. After we will calculate the factors of 82838 and 82856 and find the biggest common factor number .

Step-1: Prime Factorization of 82838

Prime factors of 82838 are 2, 7, 61, 97. Prime factorization of 82838 in exponential form is:

82838 = 2¹ × 7¹ × 61¹ × 97¹

Step-2: Prime Factorization of 82856

Prime factors of 82856 are 2, 10357. Prime factorization of 82856 in exponential form is:

82856 = 2³ × 10357¹

Step-3: Factors of 82838

List of positive integer factors of 82838 that divides 82838 without a remainder.

1, 2, 7, 14, 61, 97, 122, 194, 427, 679, 854, 1358, 5917, 11834, 41419

Step-4: Factors of 82856

List of positive integer factors of 82856 that divides 82838 without a remainder.

1, 2, 4, 8, 10357, 20714, 41428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82838 and 82856. The biggest common factor number is the GCF number.
So the greatest common factor 82838 and 82856 is 2.

Also check out the Least Common Multiple of 82838 and 82856