What is the Greatest Common Factor of 82842 and 82852?

Greatest common factor (GCF) of 82842 and 82852 is 2.

GCF(82842,82852) = 2

We will now calculate the prime factors of 82842 and 82852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82842 and 82852.

How to find the GCF of 82842 and 82852?

We will first find the prime factorization of 82842 and 82852. After we will calculate the factors of 82842 and 82852 and find the biggest common factor number .

Step-1: Prime Factorization of 82842

Prime factors of 82842 are 2, 3, 13807. Prime factorization of 82842 in exponential form is:

82842 = 2¹ × 3¹ × 13807¹

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 82842

List of positive integer factors of 82842 that divides 82842 without a remainder.

1, 2, 3, 6, 13807, 27614, 41421

Step-4: Factors of 82852

List of positive integer factors of 82852 that divides 82842 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 82842 and 82852. The biggest common factor number is the GCF number.
So the greatest common factor 82842 and 82852 is 2.

Also check out the Least Common Multiple of 82842 and 82852