What is the Greatest Common Factor of 24386 and 24398?

Greatest common factor (GCF) of 24386 and 24398 is 2.

GCF(24386,24398) = 2

We will now calculate the prime factors of 24386 and 24398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24386 and 24398.

How to find the GCF of 24386 and 24398?

We will first find the prime factorization of 24386 and 24398. After we will calculate the factors of 24386 and 24398 and find the biggest common factor number .

Step-1: Prime Factorization of 24386

Prime factors of 24386 are 2, 89, 137. Prime factorization of 24386 in exponential form is:

24386 = 2¹ × 89¹ × 137¹

Step-2: Prime Factorization of 24398

Prime factors of 24398 are 2, 11, 1109. Prime factorization of 24398 in exponential form is:

24398 = 2¹ × 11¹ × 1109¹

Step-3: Factors of 24386

List of positive integer factors of 24386 that divides 24386 without a remainder.

1, 2, 89, 137, 178, 274, 12193

Step-4: Factors of 24398

List of positive integer factors of 24398 that divides 24386 without a remainder.

1, 2, 11, 22, 1109, 2218, 12199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24386 and 24398. The biggest common factor number is the GCF number.
So the greatest common factor 24386 and 24398 is 2.

Also check out the Least Common Multiple of 24386 and 24398