What is the Greatest Common Factor of 82885 and 82896?

Greatest common factor (GCF) of 82885 and 82896 is 11.

GCF(82885,82896) = 11

We will now calculate the prime factors of 82885 and 82896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82885 and 82896.

How to find the GCF of 82885 and 82896?

We will first find the prime factorization of 82885 and 82896. After we will calculate the factors of 82885 and 82896 and find the biggest common factor number .

Step-1: Prime Factorization of 82885

Prime factors of 82885 are 5, 11, 137. Prime factorization of 82885 in exponential form is:

82885 = 5¹ × 11² × 137¹

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 82885

List of positive integer factors of 82885 that divides 82885 without a remainder.

1, 5, 11, 55, 121, 137, 605, 685, 1507, 7535, 16577

Step-4: Factors of 82896

List of positive integer factors of 82896 that divides 82885 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 82885 and 82896. The biggest common factor number is the GCF number.
So the greatest common factor 82885 and 82896 is 11.

Also check out the Least Common Multiple of 82885 and 82896