What is the Greatest Common Factor of 24358 and 24377?

Greatest common factor (GCF) of 24358 and 24377 is 19.

GCF(24358,24377) = 19

We will now calculate the prime factors of 24358 and 24377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24358 and 24377.

How to find the GCF of 24358 and 24377?

We will first find the prime factorization of 24358 and 24377. After we will calculate the factors of 24358 and 24377 and find the biggest common factor number .

Step-1: Prime Factorization of 24358

Prime factors of 24358 are 2, 19, 641. Prime factorization of 24358 in exponential form is:

24358 = 2¹ × 19¹ × 641¹

Step-2: Prime Factorization of 24377

Prime factors of 24377 are 19, 1283. Prime factorization of 24377 in exponential form is:

24377 = 19¹ × 1283¹

Step-3: Factors of 24358

List of positive integer factors of 24358 that divides 24358 without a remainder.

1, 2, 19, 38, 641, 1282, 12179

Step-4: Factors of 24377

List of positive integer factors of 24377 that divides 24358 without a remainder.

1, 19, 1283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24358 and 24377. The biggest common factor number is the GCF number.
So the greatest common factor 24358 and 24377 is 19.

Also check out the Least Common Multiple of 24358 and 24377