What is the Greatest Common Factor of 32448 and 32459?

Greatest common factor (GCF) of 32448 and 32459 is 1.

GCF(32448,32459) = 1

We will now calculate the prime factors of 32448 and 32459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32448 and 32459.

How to find the GCF of 32448 and 32459?

We will first find the prime factorization of 32448 and 32459. After we will calculate the factors of 32448 and 32459 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32459

Prime factors of 32459 are 7, 4637. Prime factorization of 32459 in exponential form is:

32459 = 7¹ × 4637¹

Step-3: Factors of 32448

List of positive integer factors of 32448 that divides 32448 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

Step-4: Factors of 32459

List of positive integer factors of 32459 that divides 32448 without a remainder.

1, 7, 4637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32448 and 32459. The biggest common factor number is the GCF number.
So the greatest common factor 32448 and 32459 is 1.

Also check out the Least Common Multiple of 32448 and 32459