What is the Greatest Common Factor of 82838 and 82852?

Greatest common factor (GCF) of 82838 and 82852 is 14.

GCF(82838,82852) = 14

We will now calculate the prime factors of 82838 and 82852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82838 and 82852.

How to find the GCF of 82838 and 82852?

We will first find the prime factorization of 82838 and 82852. After we will calculate the factors of 82838 and 82852 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 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 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 82852

List of positive integer factors of 82852 that divides 82838 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 82838 and 82852. The biggest common factor number is the GCF number.
So the greatest common factor 82838 and 82852 is 14.

Also check out the Least Common Multiple of 82838 and 82852