What is the Greatest Common Factor of 32436 and 32448?

Greatest common factor (GCF) of 32436 and 32448 is 12.

GCF(32436,32448) = 12

We will now calculate the prime factors of 32436 and 32448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32436 and 32448.

How to find the GCF of 32436 and 32448?

We will first find the prime factorization of 32436 and 32448. After we will calculate the factors of 32436 and 32448 and find the biggest common factor number .

Step-1: Prime Factorization of 32436

Prime factors of 32436 are 2, 3, 17, 53. Prime factorization of 32436 in exponential form is:

32436 = 2² × 3² × 17¹ × 53¹

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 32436

List of positive integer factors of 32436 that divides 32436 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 53, 68, 102, 106, 153, 159, 204, 212, 306, 318, 477, 612, 636, 901, 954, 1802, 1908, 2703, 3604, 5406, 8109, 10812, 16218

Step-4: Factors of 32448

List of positive integer factors of 32448 that divides 32436 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 32436 and 32448. The biggest common factor number is the GCF number.
So the greatest common factor 32436 and 32448 is 12.

Also check out the Least Common Multiple of 32436 and 32448