What is the Greatest Common Factor of 48004 and 48024?

Greatest common factor (GCF) of 48004 and 48024 is 4.

GCF(48004,48024) = 4

We will now calculate the prime factors of 48004 and 48024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48004 and 48024.

How to find the GCF of 48004 and 48024?

We will first find the prime factorization of 48004 and 48024. After we will calculate the factors of 48004 and 48024 and find the biggest common factor number .

Step-1: Prime Factorization of 48004

Prime factors of 48004 are 2, 11, 1091. Prime factorization of 48004 in exponential form is:

48004 = 2² × 11¹ × 1091¹

Step-2: 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-3: Factors of 48004

List of positive integer factors of 48004 that divides 48004 without a remainder.

1, 2, 4, 11, 22, 44, 1091, 2182, 4364, 12001, 24002

Step-4: Factors of 48024

List of positive integer factors of 48024 that divides 48004 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48004 and 48024. The biggest common factor number is the GCF number.
So the greatest common factor 48004 and 48024 is 4.

Also check out the Least Common Multiple of 48004 and 48024