What is the Greatest Common Factor of 82240 and 82249?

Greatest common factor (GCF) of 82240 and 82249 is 1.

GCF(82240,82249) = 1

We will now calculate the prime factors of 82240 and 82249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82240 and 82249.

How to find the GCF of 82240 and 82249?

We will first find the prime factorization of 82240 and 82249. After we will calculate the factors of 82240 and 82249 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 82249

Prime factors of 82249 are 233, 353. Prime factorization of 82249 in exponential form is:

82249 = 233¹ × 353¹

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 82249

List of positive integer factors of 82249 that divides 82240 without a remainder.

1, 233, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82240 and 82249. The biggest common factor number is the GCF number.
So the greatest common factor 82240 and 82249 is 1.

Also check out the Least Common Multiple of 82240 and 82249