What is the Greatest Common Factor of 38448 and 38454?

Greatest common factor (GCF) of 38448 and 38454 is 6.

GCF(38448,38454) = 6

We will now calculate the prime factors of 38448 and 38454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38448 and 38454.

How to find the GCF of 38448 and 38454?

We will first find the prime factorization of 38448 and 38454. After we will calculate the factors of 38448 and 38454 and find the biggest common factor number .

Step-1: Prime Factorization of 38448

Prime factors of 38448 are 2, 3, 89. Prime factorization of 38448 in exponential form is:

38448 = 2⁴ × 3³ × 89¹

Step-2: Prime Factorization of 38454

Prime factors of 38454 are 2, 3, 13, 17, 29. Prime factorization of 38454 in exponential form is:

38454 = 2¹ × 3¹ × 13¹ × 17¹ × 29¹

Step-3: Factors of 38448

List of positive integer factors of 38448 that divides 38448 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 89, 108, 144, 178, 216, 267, 356, 432, 534, 712, 801, 1068, 1424, 1602, 2136, 2403, 3204, 4272, 4806, 6408, 9612, 12816, 19224

Step-4: Factors of 38454

List of positive integer factors of 38454 that divides 38448 without a remainder.

1, 2, 3, 6, 13, 17, 26, 29, 34, 39, 51, 58, 78, 87, 102, 174, 221, 377, 442, 493, 663, 754, 986, 1131, 1326, 1479, 2262, 2958, 6409, 12818, 19227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38448 and 38454. The biggest common factor number is the GCF number.
So the greatest common factor 38448 and 38454 is 6.

Also check out the Least Common Multiple of 38448 and 38454