What is the Greatest Common Factor of 80245 and 80249?

Greatest common factor (GCF) of 80245 and 80249 is 1.

GCF(80245,80249) = 1

We will now calculate the prime factors of 80245 and 80249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80245 and 80249.

How to find the GCF of 80245 and 80249?

We will first find the prime factorization of 80245 and 80249. After we will calculate the factors of 80245 and 80249 and find the biggest common factor number .

Step-1: Prime Factorization of 80245

Prime factors of 80245 are 5, 11, 1459. Prime factorization of 80245 in exponential form is:

80245 = 5¹ × 11¹ × 1459¹

Step-2: Prime Factorization of 80249

Prime factors of 80249 are 13, 6173. Prime factorization of 80249 in exponential form is:

80249 = 13¹ × 6173¹

Step-3: Factors of 80245

List of positive integer factors of 80245 that divides 80245 without a remainder.

1, 5, 11, 55, 1459, 7295, 16049

Step-4: Factors of 80249

List of positive integer factors of 80249 that divides 80245 without a remainder.

1, 13, 6173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80245 and 80249. The biggest common factor number is the GCF number.
So the greatest common factor 80245 and 80249 is 1.

Also check out the Least Common Multiple of 80245 and 80249