What is the Greatest Common Factor of 42024 and 42032?

Greatest common factor (GCF) of 42024 and 42032 is 8.

GCF(42024,42032) = 8

We will now calculate the prime factors of 42024 and 42032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42024 and 42032.

How to find the GCF of 42024 and 42032?

We will first find the prime factorization of 42024 and 42032. After we will calculate the factors of 42024 and 42032 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 42032

Prime factors of 42032 are 2, 37, 71. Prime factorization of 42032 in exponential form is:

42032 = 2⁴ × 37¹ × 71¹

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 42032

List of positive integer factors of 42032 that divides 42024 without a remainder.

1, 2, 4, 8, 16, 37, 71, 74, 142, 148, 284, 296, 568, 592, 1136, 2627, 5254, 10508, 21016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42024 and 42032. The biggest common factor number is the GCF number.
So the greatest common factor 42024 and 42032 is 8.

Also check out the Least Common Multiple of 42024 and 42032