What is the Greatest Common Factor of 32448 and 32460?

Greatest common factor (GCF) of 32448 and 32460 is 12.

GCF(32448,32460) = 12

We will now calculate the prime factors of 32448 and 32460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32448 and 32460.

How to find the GCF of 32448 and 32460?

We will first find the prime factorization of 32448 and 32460. After we will calculate the factors of 32448 and 32460 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 32460

Prime factors of 32460 are 2, 3, 5, 541. Prime factorization of 32460 in exponential form is:

32460 = 2² × 3¹ × 5¹ × 541¹

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 32460

List of positive integer factors of 32460 that divides 32448 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 541, 1082, 1623, 2164, 2705, 3246, 5410, 6492, 8115, 10820, 16230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32448 and 32460. The biggest common factor number is the GCF number.
So the greatest common factor 32448 and 32460 is 12.

Also check out the Least Common Multiple of 32448 and 32460