What is the Greatest Common Factor of 82240 and 82256?

Greatest common factor (GCF) of 82240 and 82256 is 16.

GCF(82240,82256) = 16

We will now calculate the prime factors of 82240 and 82256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82240 and 82256.

How to find the GCF of 82240 and 82256?

We will first find the prime factorization of 82240 and 82256. After we will calculate the factors of 82240 and 82256 and find the biggest common factor number .

Step-1: Prime Factorization of 82240

Prime factors of 82240 are 2, 5, 257. Prime factorization of 82240 in exponential form is:

82240 = 2⁶ × 5¹ × 257¹

Step-2: 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-3: Factors of 82240

List of positive integer factors of 82240 that divides 82240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 257, 320, 514, 1028, 1285, 2056, 2570, 4112, 5140, 8224, 10280, 16448, 20560, 41120

Step-4: Factors of 82256

List of positive integer factors of 82256 that divides 82240 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82240 and 82256. The biggest common factor number is the GCF number.
So the greatest common factor 82240 and 82256 is 16.

Also check out the Least Common Multiple of 82240 and 82256