What is the Greatest Common Factor of 32433 and 32448?

Greatest common factor (GCF) of 32433 and 32448 is 3.

GCF(32433,32448) = 3

We will now calculate the prime factors of 32433 and 32448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32433 and 32448.

How to find the GCF of 32433 and 32448?

We will first find the prime factorization of 32433 and 32448. After we will calculate the factors of 32433 and 32448 and find the biggest common factor number .

Step-1: Prime Factorization of 32433

Prime factors of 32433 are 3, 19, 569. Prime factorization of 32433 in exponential form is:

32433 = 3¹ × 19¹ × 569¹

Step-2: Prime Factorization of 32448

Prime factors of 32448 are 2, 3, 13. Prime factorization of 32448 in exponential form is:

32448 = 2⁶ × 3¹ × 13²

Step-3: Factors of 32433

List of positive integer factors of 32433 that divides 32433 without a remainder.

1, 3, 19, 57, 569, 1707, 10811

Step-4: Factors of 32448

List of positive integer factors of 32448 that divides 32433 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 169, 192, 208, 312, 338, 416, 507, 624, 676, 832, 1014, 1248, 1352, 2028, 2496, 2704, 4056, 5408, 8112, 10816, 16224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32433 and 32448. The biggest common factor number is the GCF number.
So the greatest common factor 32433 and 32448 is 3.

Also check out the Least Common Multiple of 32433 and 32448