What is the Greatest Common Factor of 82834 and 82852?

Greatest common factor (GCF) of 82834 and 82852 is 2.

GCF(82834,82852) = 2

We will now calculate the prime factors of 82834 and 82852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82834 and 82852.

How to find the GCF of 82834 and 82852?

We will first find the prime factorization of 82834 and 82852. After we will calculate the factors of 82834 and 82852 and find the biggest common factor number .

Step-1: Prime Factorization of 82834

Prime factors of 82834 are 2, 83, 499. Prime factorization of 82834 in exponential form is:

82834 = 2¹ × 83¹ × 499¹

Step-2: Prime Factorization of 82852

Prime factors of 82852 are 2, 7, 11, 269. Prime factorization of 82852 in exponential form is:

82852 = 2² × 7¹ × 11¹ × 269¹

Step-3: Factors of 82834

List of positive integer factors of 82834 that divides 82834 without a remainder.

1, 2, 83, 166, 499, 998, 41417

Step-4: Factors of 82852

List of positive integer factors of 82852 that divides 82834 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 269, 308, 538, 1076, 1883, 2959, 3766, 5918, 7532, 11836, 20713, 41426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82834 and 82852. The biggest common factor number is the GCF number.
So the greatest common factor 82834 and 82852 is 2.

Also check out the Least Common Multiple of 82834 and 82852