What is the Greatest Common Factor of 38442 and 38448?

Greatest common factor (GCF) of 38442 and 38448 is 6.

GCF(38442,38448) = 6

We will now calculate the prime factors of 38442 and 38448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38442 and 38448.

How to find the GCF of 38442 and 38448?

We will first find the prime factorization of 38442 and 38448. After we will calculate the factors of 38442 and 38448 and find the biggest common factor number .

Step-1: Prime Factorization of 38442

Prime factors of 38442 are 2, 3, 43, 149. Prime factorization of 38442 in exponential form is:

38442 = 2¹ × 3¹ × 43¹ × 149¹

Step-2: 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-3: Factors of 38442

List of positive integer factors of 38442 that divides 38442 without a remainder.

1, 2, 3, 6, 43, 86, 129, 149, 258, 298, 447, 894, 6407, 12814, 19221

Step-4: Factors of 38448

List of positive integer factors of 38448 that divides 38442 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38442 and 38448. The biggest common factor number is the GCF number.
So the greatest common factor 38442 and 38448 is 6.

Also check out the Least Common Multiple of 38442 and 38448