What is the Greatest Common Factor of 24346 and 24358?

Greatest common factor (GCF) of 24346 and 24358 is 2.

GCF(24346,24358) = 2

We will now calculate the prime factors of 24346 and 24358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24346 and 24358.

How to find the GCF of 24346 and 24358?

We will first find the prime factorization of 24346 and 24358. After we will calculate the factors of 24346 and 24358 and find the biggest common factor number .

Step-1: Prime Factorization of 24346

Prime factors of 24346 are 2, 7, 37, 47. Prime factorization of 24346 in exponential form is:

24346 = 2¹ × 7¹ × 37¹ × 47¹

Step-2: 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-3: Factors of 24346

List of positive integer factors of 24346 that divides 24346 without a remainder.

1, 2, 7, 14, 37, 47, 74, 94, 259, 329, 518, 658, 1739, 3478, 12173

Step-4: Factors of 24358

List of positive integer factors of 24358 that divides 24346 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24346 and 24358. The biggest common factor number is the GCF number.
So the greatest common factor 24346 and 24358 is 2.

Also check out the Least Common Multiple of 24346 and 24358