What is the Greatest Common Factor of 24432 and 24452?

Greatest common factor (GCF) of 24432 and 24452 is 4.

GCF(24432,24452) = 4

We will now calculate the prime factors of 24432 and 24452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24432 and 24452.

How to find the GCF of 24432 and 24452?

We will first find the prime factorization of 24432 and 24452. After we will calculate the factors of 24432 and 24452 and find the biggest common factor number .

Step-1: Prime Factorization of 24432

Prime factors of 24432 are 2, 3, 509. Prime factorization of 24432 in exponential form is:

24432 = 2⁴ × 3¹ × 509¹

Step-2: Prime Factorization of 24452

Prime factors of 24452 are 2, 6113. Prime factorization of 24452 in exponential form is:

24452 = 2² × 6113¹

Step-3: Factors of 24432

List of positive integer factors of 24432 that divides 24432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 509, 1018, 1527, 2036, 3054, 4072, 6108, 8144, 12216

Step-4: Factors of 24452

List of positive integer factors of 24452 that divides 24432 without a remainder.

1, 2, 4, 6113, 12226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24432 and 24452. The biggest common factor number is the GCF number.
So the greatest common factor 24432 and 24452 is 4.

Also check out the Least Common Multiple of 24432 and 24452