What is the Greatest Common Factor of 33208 and 33221?

Greatest common factor (GCF) of 33208 and 33221 is 1.

GCF(33208,33221) = 1

We will now calculate the prime factors of 33208 and 33221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33208 and 33221.

How to find the GCF of 33208 and 33221?

We will first find the prime factorization of 33208 and 33221. After we will calculate the factors of 33208 and 33221 and find the biggest common factor number .

Step-1: Prime Factorization of 33208

Prime factors of 33208 are 2, 7, 593. Prime factorization of 33208 in exponential form is:

33208 = 2³ × 7¹ × 593¹

Step-2: Prime Factorization of 33221

Prime factors of 33221 are 139, 239. Prime factorization of 33221 in exponential form is:

33221 = 139¹ × 239¹

Step-3: Factors of 33208

List of positive integer factors of 33208 that divides 33208 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 593, 1186, 2372, 4151, 4744, 8302, 16604

Step-4: Factors of 33221

List of positive integer factors of 33221 that divides 33208 without a remainder.

1, 139, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33208 and 33221. The biggest common factor number is the GCF number.
So the greatest common factor 33208 and 33221 is 1.

Also check out the Least Common Multiple of 33208 and 33221