What is the Greatest Common Factor of 24002 and 24018?

Greatest common factor (GCF) of 24002 and 24018 is 2.

GCF(24002,24018) = 2

We will now calculate the prime factors of 24002 and 24018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24002 and 24018.

How to find the GCF of 24002 and 24018?

We will first find the prime factorization of 24002 and 24018. After we will calculate the factors of 24002 and 24018 and find the biggest common factor number .

Step-1: Prime Factorization of 24002

Prime factors of 24002 are 2, 11, 1091. Prime factorization of 24002 in exponential form is:

24002 = 2¹ × 11¹ × 1091¹

Step-2: Prime Factorization of 24018

Prime factors of 24018 are 2, 3, 4003. Prime factorization of 24018 in exponential form is:

24018 = 2¹ × 3¹ × 4003¹

Step-3: Factors of 24002

List of positive integer factors of 24002 that divides 24002 without a remainder.

1, 2, 11, 22, 1091, 2182, 12001

Step-4: Factors of 24018

List of positive integer factors of 24018 that divides 24002 without a remainder.

1, 2, 3, 6, 4003, 8006, 12009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24002 and 24018. The biggest common factor number is the GCF number.
So the greatest common factor 24002 and 24018 is 2.

Also check out the Least Common Multiple of 24002 and 24018