What is the Greatest Common Factor of 24431 and 24442?

Greatest common factor (GCF) of 24431 and 24442 is 11.

GCF(24431,24442) = 11

We will now calculate the prime factors of 24431 and 24442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24431 and 24442.

How to find the GCF of 24431 and 24442?

We will first find the prime factorization of 24431 and 24442. After we will calculate the factors of 24431 and 24442 and find the biggest common factor number .

Step-1: Prime Factorization of 24431

Prime factors of 24431 are 11, 2221. Prime factorization of 24431 in exponential form is:

24431 = 11¹ × 2221¹

Step-2: Prime Factorization of 24442

Prime factors of 24442 are 2, 11, 101. Prime factorization of 24442 in exponential form is:

24442 = 2¹ × 11² × 101¹

Step-3: Factors of 24431

List of positive integer factors of 24431 that divides 24431 without a remainder.

1, 11, 2221

Step-4: Factors of 24442

List of positive integer factors of 24442 that divides 24431 without a remainder.

1, 2, 11, 22, 101, 121, 202, 242, 1111, 2222, 12221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24431 and 24442. The biggest common factor number is the GCF number.
So the greatest common factor 24431 and 24442 is 11.

Also check out the Least Common Multiple of 24431 and 24442