What is the Greatest Common Factor of 24042 and 24058?

Greatest common factor (GCF) of 24042 and 24058 is 2.

GCF(24042,24058) = 2

We will now calculate the prime factors of 24042 and 24058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24042 and 24058.

How to find the GCF of 24042 and 24058?

We will first find the prime factorization of 24042 and 24058. After we will calculate the factors of 24042 and 24058 and find the biggest common factor number .

Step-1: Prime Factorization of 24042

Prime factors of 24042 are 2, 3, 4007. Prime factorization of 24042 in exponential form is:

24042 = 2¹ × 3¹ × 4007¹

Step-2: Prime Factorization of 24058

Prime factors of 24058 are 2, 23, 523. Prime factorization of 24058 in exponential form is:

24058 = 2¹ × 23¹ × 523¹

Step-3: Factors of 24042

List of positive integer factors of 24042 that divides 24042 without a remainder.

1, 2, 3, 6, 4007, 8014, 12021

Step-4: Factors of 24058

List of positive integer factors of 24058 that divides 24042 without a remainder.

1, 2, 23, 46, 523, 1046, 12029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24042 and 24058. The biggest common factor number is the GCF number.
So the greatest common factor 24042 and 24058 is 2.

Also check out the Least Common Multiple of 24042 and 24058