What is the Greatest Common Factor of 42024 and 42039?

Greatest common factor (GCF) of 42024 and 42039 is 3.

GCF(42024,42039) = 3

We will now calculate the prime factors of 42024 and 42039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42024 and 42039.

How to find the GCF of 42024 and 42039?

We will first find the prime factorization of 42024 and 42039. After we will calculate the factors of 42024 and 42039 and find the biggest common factor number .

Step-1: Prime Factorization of 42024

Prime factors of 42024 are 2, 3, 17, 103. Prime factorization of 42024 in exponential form is:

42024 = 2³ × 3¹ × 17¹ × 103¹

Step-2: Prime Factorization of 42039

Prime factors of 42039 are 3, 173. Prime factorization of 42039 in exponential form is:

42039 = 3⁵ × 173¹

Step-3: Factors of 42024

List of positive integer factors of 42024 that divides 42024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 103, 136, 204, 206, 309, 408, 412, 618, 824, 1236, 1751, 2472, 3502, 5253, 7004, 10506, 14008, 21012

Step-4: Factors of 42039

List of positive integer factors of 42039 that divides 42024 without a remainder.

1, 3, 9, 27, 81, 173, 243, 519, 1557, 4671, 14013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42024 and 42039. The biggest common factor number is the GCF number.
So the greatest common factor 42024 and 42039 is 3.

Also check out the Least Common Multiple of 42024 and 42039