What is the Greatest Common Factor of 42024 and 42036?

Greatest common factor (GCF) of 42024 and 42036 is 12.

GCF(42024,42036) = 12

We will now calculate the prime factors of 42024 and 42036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42024 and 42036.

How to find the GCF of 42024 and 42036?

We will first find the prime factorization of 42024 and 42036. After we will calculate the factors of 42024 and 42036 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 42036

Prime factors of 42036 are 2, 3, 31, 113. Prime factorization of 42036 in exponential form is:

42036 = 2² × 3¹ × 31¹ × 113¹

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 42036

List of positive integer factors of 42036 that divides 42024 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 113, 124, 186, 226, 339, 372, 452, 678, 1356, 3503, 7006, 10509, 14012, 21018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42024 and 42036. The biggest common factor number is the GCF number.
So the greatest common factor 42024 and 42036 is 12.

Also check out the Least Common Multiple of 42024 and 42036