What is the Greatest Common Factor of 24342 and 24353?

Greatest common factor (GCF) of 24342 and 24353 is 1.

GCF(24342,24353) = 1

We will now calculate the prime factors of 24342 and 24353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24342 and 24353.

How to find the GCF of 24342 and 24353?

We will first find the prime factorization of 24342 and 24353. After we will calculate the factors of 24342 and 24353 and find the biggest common factor number .

Step-1: Prime Factorization of 24342

Prime factors of 24342 are 2, 3, 4057. Prime factorization of 24342 in exponential form is:

24342 = 2¹ × 3¹ × 4057¹

Step-2: Prime Factorization of 24353

Prime factors of 24353 are 7, 71. Prime factorization of 24353 in exponential form is:

24353 = 7³ × 71¹

Step-3: Factors of 24342

List of positive integer factors of 24342 that divides 24342 without a remainder.

1, 2, 3, 6, 4057, 8114, 12171

Step-4: Factors of 24353

List of positive integer factors of 24353 that divides 24342 without a remainder.

1, 7, 49, 71, 343, 497, 3479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24342 and 24353. The biggest common factor number is the GCF number.
So the greatest common factor 24342 and 24353 is 1.

Also check out the Least Common Multiple of 24342 and 24353