What is the Greatest Common Factor of 48024 and 48038?

Greatest common factor (GCF) of 48024 and 48038 is 2.

GCF(48024,48038) = 2

We will now calculate the prime factors of 48024 and 48038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48024 and 48038.

How to find the GCF of 48024 and 48038?

We will first find the prime factorization of 48024 and 48038. After we will calculate the factors of 48024 and 48038 and find the biggest common factor number .

Step-1: Prime Factorization of 48024

Prime factors of 48024 are 2, 3, 23, 29. Prime factorization of 48024 in exponential form is:

48024 = 2³ × 3² × 23¹ × 29¹

Step-2: Prime Factorization of 48038

Prime factors of 48038 are 2, 24019. Prime factorization of 48038 in exponential form is:

48038 = 2¹ × 24019¹

Step-3: Factors of 48024

List of positive integer factors of 48024 that divides 48024 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 29, 36, 46, 58, 69, 72, 87, 92, 116, 138, 174, 184, 207, 232, 261, 276, 348, 414, 522, 552, 667, 696, 828, 1044, 1334, 1656, 2001, 2088, 2668, 4002, 5336, 6003, 8004, 12006, 16008, 24012

Step-4: Factors of 48038

List of positive integer factors of 48038 that divides 48024 without a remainder.

1, 2, 24019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48024 and 48038. The biggest common factor number is the GCF number.
So the greatest common factor 48024 and 48038 is 2.

Also check out the Least Common Multiple of 48024 and 48038