What is the Greatest Common Factor of 42007 and 42024?

Greatest common factor (GCF) of 42007 and 42024 is 17.

GCF(42007,42024) = 17

We will now calculate the prime factors of 42007 and 42024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42007 and 42024.

How to find the GCF of 42007 and 42024?

We will first find the prime factorization of 42007 and 42024. After we will calculate the factors of 42007 and 42024 and find the biggest common factor number .

Step-1: Prime Factorization of 42007

Prime factors of 42007 are 7, 17, 353. Prime factorization of 42007 in exponential form is:

42007 = 7¹ × 17¹ × 353¹

Step-2: 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-3: Factors of 42007

List of positive integer factors of 42007 that divides 42007 without a remainder.

1, 7, 17, 119, 353, 2471, 6001

Step-4: Factors of 42024

List of positive integer factors of 42024 that divides 42007 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42007 and 42024. The biggest common factor number is the GCF number.
So the greatest common factor 42007 and 42024 is 17.

Also check out the Least Common Multiple of 42007 and 42024