What is the Greatest Common Factor of 82876 and 82896?

Greatest common factor (GCF) of 82876 and 82896 is 4.

GCF(82876,82896) = 4

We will now calculate the prime factors of 82876 and 82896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82876 and 82896.

How to find the GCF of 82876 and 82896?

We will first find the prime factorization of 82876 and 82896. After we will calculate the factors of 82876 and 82896 and find the biggest common factor number .

Step-1: Prime Factorization of 82876

Prime factors of 82876 are 2, 20719. Prime factorization of 82876 in exponential form is:

82876 = 2² × 20719¹

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 82876

List of positive integer factors of 82876 that divides 82876 without a remainder.

1, 2, 4, 20719, 41438

Step-4: Factors of 82896

List of positive integer factors of 82896 that divides 82876 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 82876 and 82896. The biggest common factor number is the GCF number.
So the greatest common factor 82876 and 82896 is 4.

Also check out the Least Common Multiple of 82876 and 82896