What is the Greatest Common Factor of 82884 and 82896?

Greatest common factor (GCF) of 82884 and 82896 is 12.

GCF(82884,82896) = 12

We will now calculate the prime factors of 82884 and 82896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82884 and 82896.

How to find the GCF of 82884 and 82896?

We will first find the prime factorization of 82884 and 82896. After we will calculate the factors of 82884 and 82896 and find the biggest common factor number .

Step-1: Prime Factorization of 82884

Prime factors of 82884 are 2, 3, 6907. Prime factorization of 82884 in exponential form is:

82884 = 2² × 3¹ × 6907¹

Step-2: Prime Factorization of 82896

Prime factors of 82896 are 2, 3, 11, 157. Prime factorization of 82896 in exponential form is:

82896 = 2⁴ × 3¹ × 11¹ × 157¹

Step-3: Factors of 82884

List of positive integer factors of 82884 that divides 82884 without a remainder.

1, 2, 3, 4, 6, 12, 6907, 13814, 20721, 27628, 41442

Step-4: Factors of 82896

List of positive integer factors of 82896 that divides 82884 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 157, 176, 264, 314, 471, 528, 628, 942, 1256, 1727, 1884, 2512, 3454, 3768, 5181, 6908, 7536, 10362, 13816, 20724, 27632, 41448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82884 and 82896. The biggest common factor number is the GCF number.
So the greatest common factor 82884 and 82896 is 12.

Also check out the Least Common Multiple of 82884 and 82896