What is the Greatest Common Factor of 33228 and 33240?

Greatest common factor (GCF) of 33228 and 33240 is 12.

GCF(33228,33240) = 12

We will now calculate the prime factors of 33228 and 33240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33228 and 33240.

How to find the GCF of 33228 and 33240?

We will first find the prime factorization of 33228 and 33240. After we will calculate the factors of 33228 and 33240 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33240

Prime factors of 33240 are 2, 3, 5, 277. Prime factorization of 33240 in exponential form is:

33240 = 2³ × 3¹ × 5¹ × 277¹

Step-3: Factors of 33228

List of positive integer factors of 33228 that divides 33228 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

Step-4: Factors of 33240

List of positive integer factors of 33240 that divides 33228 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 277, 554, 831, 1108, 1385, 1662, 2216, 2770, 3324, 4155, 5540, 6648, 8310, 11080, 16620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33228 and 33240. The biggest common factor number is the GCF number.
So the greatest common factor 33228 and 33240 is 12.

Also check out the Least Common Multiple of 33228 and 33240