What is the Greatest Common Factor of 38448 and 38464?

Greatest common factor (GCF) of 38448 and 38464 is 16.

GCF(38448,38464) = 16

We will now calculate the prime factors of 38448 and 38464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38448 and 38464.

How to find the GCF of 38448 and 38464?

We will first find the prime factorization of 38448 and 38464. After we will calculate the factors of 38448 and 38464 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 38464

Prime factors of 38464 are 2, 601. Prime factorization of 38464 in exponential form is:

38464 = 2⁶ × 601¹

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 38464

List of positive integer factors of 38464 that divides 38448 without a remainder.

1, 2, 4, 8, 16, 32, 64, 601, 1202, 2404, 4808, 9616, 19232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38448 and 38464. The biggest common factor number is the GCF number.
So the greatest common factor 38448 and 38464 is 16.

Also check out the Least Common Multiple of 38448 and 38464