What is the Greatest Common Factor of 33202 and 33215?

Greatest common factor (GCF) of 33202 and 33215 is 13.

GCF(33202,33215) = 13

We will now calculate the prime factors of 33202 and 33215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33202 and 33215.

How to find the GCF of 33202 and 33215?

We will first find the prime factorization of 33202 and 33215. After we will calculate the factors of 33202 and 33215 and find the biggest common factor number .

Step-1: Prime Factorization of 33202

Prime factors of 33202 are 2, 13, 1277. Prime factorization of 33202 in exponential form is:

33202 = 2¹ × 13¹ × 1277¹

Step-2: Prime Factorization of 33215

Prime factors of 33215 are 5, 7, 13, 73. Prime factorization of 33215 in exponential form is:

33215 = 5¹ × 7¹ × 13¹ × 73¹

Step-3: Factors of 33202

List of positive integer factors of 33202 that divides 33202 without a remainder.

1, 2, 13, 26, 1277, 2554, 16601

Step-4: Factors of 33215

List of positive integer factors of 33215 that divides 33202 without a remainder.

1, 5, 7, 13, 35, 65, 73, 91, 365, 455, 511, 949, 2555, 4745, 6643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33202 and 33215. The biggest common factor number is the GCF number.
So the greatest common factor 33202 and 33215 is 13.

Also check out the Least Common Multiple of 33202 and 33215