What is the Greatest Common Factor of 82256 and 82268?

Greatest common factor (GCF) of 82256 and 82268 is 4.

GCF(82256,82268) = 4

We will now calculate the prime factors of 82256 and 82268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82256 and 82268.

How to find the GCF of 82256 and 82268?

We will first find the prime factorization of 82256 and 82268. After we will calculate the factors of 82256 and 82268 and find the biggest common factor number .

Step-1: Prime Factorization of 82256

Prime factors of 82256 are 2, 53, 97. Prime factorization of 82256 in exponential form is:

82256 = 2⁴ × 53¹ × 97¹

Step-2: Prime Factorization of 82268

Prime factors of 82268 are 2, 131, 157. Prime factorization of 82268 in exponential form is:

82268 = 2² × 131¹ × 157¹

Step-3: Factors of 82256

List of positive integer factors of 82256 that divides 82256 without a remainder.

1, 2, 4, 8, 16, 53, 97, 106, 194, 212, 388, 424, 776, 848, 1552, 5141, 10282, 20564, 41128

Step-4: Factors of 82268

List of positive integer factors of 82268 that divides 82256 without a remainder.

1, 2, 4, 131, 157, 262, 314, 524, 628, 20567, 41134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82256 and 82268. The biggest common factor number is the GCF number.
So the greatest common factor 82256 and 82268 is 4.

Also check out the Least Common Multiple of 82256 and 82268