What is the Greatest Common Factor of 33432 and 33447?

Greatest common factor (GCF) of 33432 and 33447 is 3.

GCF(33432,33447) = 3

We will now calculate the prime factors of 33432 and 33447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33432 and 33447.

How to find the GCF of 33432 and 33447?

We will first find the prime factorization of 33432 and 33447. After we will calculate the factors of 33432 and 33447 and find the biggest common factor number .

Step-1: Prime Factorization of 33432

Prime factors of 33432 are 2, 3, 7, 199. Prime factorization of 33432 in exponential form is:

33432 = 2³ × 3¹ × 7¹ × 199¹

Step-2: Prime Factorization of 33447

Prime factors of 33447 are 3, 11149. Prime factorization of 33447 in exponential form is:

33447 = 3¹ × 11149¹

Step-3: Factors of 33432

List of positive integer factors of 33432 that divides 33432 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 199, 398, 597, 796, 1194, 1393, 1592, 2388, 2786, 4179, 4776, 5572, 8358, 11144, 16716

Step-4: Factors of 33447

List of positive integer factors of 33447 that divides 33432 without a remainder.

1, 3, 11149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33432 and 33447. The biggest common factor number is the GCF number.
So the greatest common factor 33432 and 33447 is 3.

Also check out the Least Common Multiple of 33432 and 33447