What is the Greatest Common Factor of 42024 and 42033?

Greatest common factor (GCF) of 42024 and 42033 is 3.

GCF(42024,42033) = 3

We will now calculate the prime factors of 42024 and 42033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42024 and 42033.

How to find the GCF of 42024 and 42033?

We will first find the prime factorization of 42024 and 42033. After we will calculate the factors of 42024 and 42033 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 42033

Prime factors of 42033 are 3, 14011. Prime factorization of 42033 in exponential form is:

42033 = 3¹ × 14011¹

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 42033

List of positive integer factors of 42033 that divides 42024 without a remainder.

1, 3, 14011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42024 and 42033. The biggest common factor number is the GCF number.
So the greatest common factor 42024 and 42033 is 3.

Also check out the Least Common Multiple of 42024 and 42033