What is the Greatest Common Factor of 24377 and 24396?

Greatest common factor (GCF) of 24377 and 24396 is 19.

GCF(24377,24396) = 19

We will now calculate the prime factors of 24377 and 24396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24377 and 24396.

How to find the GCF of 24377 and 24396?

We will first find the prime factorization of 24377 and 24396. After we will calculate the factors of 24377 and 24396 and find the biggest common factor number .

Step-1: Prime Factorization of 24377

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

24377 = 19¹ × 1283¹

Step-2: Prime Factorization of 24396

Prime factors of 24396 are 2, 3, 19, 107. Prime factorization of 24396 in exponential form is:

24396 = 2² × 3¹ × 19¹ × 107¹

Step-3: Factors of 24377

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

1, 19, 1283

Step-4: Factors of 24396

List of positive integer factors of 24396 that divides 24377 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 107, 114, 214, 228, 321, 428, 642, 1284, 2033, 4066, 6099, 8132, 12198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24377 and 24396. The biggest common factor number is the GCF number.
So the greatest common factor 24377 and 24396 is 19.

Also check out the Least Common Multiple of 24377 and 24396