What is the Greatest Common Factor of 32249 and 32266?

Greatest common factor (GCF) of 32249 and 32266 is 17.

GCF(32249,32266) = 17

We will now calculate the prime factors of 32249 and 32266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32249 and 32266.

How to find the GCF of 32249 and 32266?

We will first find the prime factorization of 32249 and 32266. After we will calculate the factors of 32249 and 32266 and find the biggest common factor number .

Step-1: Prime Factorization of 32249

Prime factors of 32249 are 7, 17, 271. Prime factorization of 32249 in exponential form is:

32249 = 7¹ × 17¹ × 271¹

Step-2: Prime Factorization of 32266

Prime factors of 32266 are 2, 13, 17, 73. Prime factorization of 32266 in exponential form is:

32266 = 2¹ × 13¹ × 17¹ × 73¹

Step-3: Factors of 32249

List of positive integer factors of 32249 that divides 32249 without a remainder.

1, 7, 17, 119, 271, 1897, 4607

Step-4: Factors of 32266

List of positive integer factors of 32266 that divides 32249 without a remainder.

1, 2, 13, 17, 26, 34, 73, 146, 221, 442, 949, 1241, 1898, 2482, 16133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32249 and 32266. The biggest common factor number is the GCF number.
So the greatest common factor 32249 and 32266 is 17.

Also check out the Least Common Multiple of 32249 and 32266