What is the Greatest Common Factor of 24401 and 24414?

Greatest common factor (GCF) of 24401 and 24414 is 13.

GCF(24401,24414) = 13

We will now calculate the prime factors of 24401 and 24414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24401 and 24414.

How to find the GCF of 24401 and 24414?

We will first find the prime factorization of 24401 and 24414. After we will calculate the factors of 24401 and 24414 and find the biggest common factor number .

Step-1: Prime Factorization of 24401

Prime factors of 24401 are 13, 1877. Prime factorization of 24401 in exponential form is:

24401 = 13¹ × 1877¹

Step-2: Prime Factorization of 24414

Prime factors of 24414 are 2, 3, 13, 313. Prime factorization of 24414 in exponential form is:

24414 = 2¹ × 3¹ × 13¹ × 313¹

Step-3: Factors of 24401

List of positive integer factors of 24401 that divides 24401 without a remainder.

1, 13, 1877

Step-4: Factors of 24414

List of positive integer factors of 24414 that divides 24401 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 313, 626, 939, 1878, 4069, 8138, 12207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24401 and 24414. The biggest common factor number is the GCF number.
So the greatest common factor 24401 and 24414 is 13.

Also check out the Least Common Multiple of 24401 and 24414