What is the Greatest Common Factor of 48024 and 48042?

Greatest common factor (GCF) of 48024 and 48042 is 18.

GCF(48024,48042) = 18

We will now calculate the prime factors of 48024 and 48042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48024 and 48042.

How to find the GCF of 48024 and 48042?

We will first find the prime factorization of 48024 and 48042. After we will calculate the factors of 48024 and 48042 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 48042

Prime factors of 48042 are 2, 3, 17, 157. Prime factorization of 48042 in exponential form is:

48042 = 2¹ × 3² × 17¹ × 157¹

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 48042

List of positive integer factors of 48042 that divides 48024 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 157, 306, 314, 471, 942, 1413, 2669, 2826, 5338, 8007, 16014, 24021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48024 and 48042. The biggest common factor number is the GCF number.
So the greatest common factor 48024 and 48042 is 18.

Also check out the Least Common Multiple of 48024 and 48042