What is the Greatest Common Factor of 24058 and 24062?

Greatest common factor (GCF) of 24058 and 24062 is 2.

GCF(24058,24062) = 2

We will now calculate the prime factors of 24058 and 24062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24058 and 24062.

How to find the GCF of 24058 and 24062?

We will first find the prime factorization of 24058 and 24062. After we will calculate the factors of 24058 and 24062 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24062

Prime factors of 24062 are 2, 53, 227. Prime factorization of 24062 in exponential form is:

24062 = 2¹ × 53¹ × 227¹

Step-3: Factors of 24058

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

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

Step-4: Factors of 24062

List of positive integer factors of 24062 that divides 24058 without a remainder.

1, 2, 53, 106, 227, 454, 12031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24058 and 24062. The biggest common factor number is the GCF number.
So the greatest common factor 24058 and 24062 is 2.

Also check out the Least Common Multiple of 24058 and 24062