What is the Greatest Common Factor of 32430 and 32448?

Greatest common factor (GCF) of 32430 and 32448 is 6.

GCF(32430,32448) = 6

We will now calculate the prime factors of 32430 and 32448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32430 and 32448.

How to find the GCF of 32430 and 32448?

We will first find the prime factorization of 32430 and 32448. After we will calculate the factors of 32430 and 32448 and find the biggest common factor number .

Step-1: Prime Factorization of 32430

Prime factors of 32430 are 2, 3, 5, 23, 47. Prime factorization of 32430 in exponential form is:

32430 = 2¹ × 3¹ × 5¹ × 23¹ × 47¹

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 32430

List of positive integer factors of 32430 that divides 32430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 47, 69, 94, 115, 138, 141, 230, 235, 282, 345, 470, 690, 705, 1081, 1410, 2162, 3243, 5405, 6486, 10810, 16215

Step-4: Factors of 32448

List of positive integer factors of 32448 that divides 32430 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 32430 and 32448. The biggest common factor number is the GCF number.
So the greatest common factor 32430 and 32448 is 6.

Also check out the Least Common Multiple of 32430 and 32448