What is the Greatest Common Factor of 42024 and 42030?

Greatest common factor (GCF) of 42024 and 42030 is 6.

GCF(42024,42030) = 6

We will now calculate the prime factors of 42024 and 42030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42024 and 42030.

How to find the GCF of 42024 and 42030?

We will first find the prime factorization of 42024 and 42030. After we will calculate the factors of 42024 and 42030 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 42030

Prime factors of 42030 are 2, 3, 5, 467. Prime factorization of 42030 in exponential form is:

42030 = 2¹ × 3² × 5¹ × 467¹

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 42030

List of positive integer factors of 42030 that divides 42024 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 467, 934, 1401, 2335, 2802, 4203, 4670, 7005, 8406, 14010, 21015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42024 and 42030. The biggest common factor number is the GCF number.
So the greatest common factor 42024 and 42030 is 6.

Also check out the Least Common Multiple of 42024 and 42030