What is the Greatest Common Factor of 32448 and 32465?

Greatest common factor (GCF) of 32448 and 32465 is 1.

GCF(32448,32465) = 1

We will now calculate the prime factors of 32448 and 32465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32448 and 32465.

How to find the GCF of 32448 and 32465?

We will first find the prime factorization of 32448 and 32465. After we will calculate the factors of 32448 and 32465 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 32465

Prime factors of 32465 are 5, 43, 151. Prime factorization of 32465 in exponential form is:

32465 = 5¹ × 43¹ × 151¹

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 32465

List of positive integer factors of 32465 that divides 32448 without a remainder.

1, 5, 43, 151, 215, 755, 6493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32448 and 32465. The biggest common factor number is the GCF number.
So the greatest common factor 32448 and 32465 is 1.

Also check out the Least Common Multiple of 32448 and 32465