What is the Greatest Common Factor of 24442 and 24453?

Greatest common factor (GCF) of 24442 and 24453 is 11.

GCF(24442,24453) = 11

We will now calculate the prime factors of 24442 and 24453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24442 and 24453.

How to find the GCF of 24442 and 24453?

We will first find the prime factorization of 24442 and 24453. After we will calculate the factors of 24442 and 24453 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24453

Prime factors of 24453 are 3, 11, 13, 19. Prime factorization of 24453 in exponential form is:

24453 = 3² × 11¹ × 13¹ × 19¹

Step-3: Factors of 24442

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

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

Step-4: Factors of 24453

List of positive integer factors of 24453 that divides 24442 without a remainder.

1, 3, 9, 11, 13, 19, 33, 39, 57, 99, 117, 143, 171, 209, 247, 429, 627, 741, 1287, 1881, 2223, 2717, 8151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24442 and 24453. The biggest common factor number is the GCF number.
So the greatest common factor 24442 and 24453 is 11.

Also check out the Least Common Multiple of 24442 and 24453