What is the Greatest Common Factor of 33215 and 33228?

Greatest common factor (GCF) of 33215 and 33228 is 13.

GCF(33215,33228) = 13

We will now calculate the prime factors of 33215 and 33228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33215 and 33228.

How to find the GCF of 33215 and 33228?

We will first find the prime factorization of 33215 and 33228. After we will calculate the factors of 33215 and 33228 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33228

Prime factors of 33228 are 2, 3, 13, 71. Prime factorization of 33228 in exponential form is:

33228 = 2² × 3² × 13¹ × 71¹

Step-3: Factors of 33215

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

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

Step-4: Factors of 33228

List of positive integer factors of 33228 that divides 33215 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 71, 78, 117, 142, 156, 213, 234, 284, 426, 468, 639, 852, 923, 1278, 1846, 2556, 2769, 3692, 5538, 8307, 11076, 16614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33215 and 33228. The biggest common factor number is the GCF number.
So the greatest common factor 33215 and 33228 is 13.

Also check out the Least Common Multiple of 33215 and 33228