What is the Greatest Common Factor of 66448 and 66452?

Greatest common factor (GCF) of 66448 and 66452 is 4.

GCF(66448,66452) = 4

We will now calculate the prime factors of 66448 and 66452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66448 and 66452.

How to find the GCF of 66448 and 66452?

We will first find the prime factorization of 66448 and 66452. After we will calculate the factors of 66448 and 66452 and find the biggest common factor number .

Step-1: Prime Factorization of 66448

Prime factors of 66448 are 2, 4153. Prime factorization of 66448 in exponential form is:

66448 = 2⁴ × 4153¹

Step-2: Prime Factorization of 66452

Prime factors of 66452 are 2, 37, 449. Prime factorization of 66452 in exponential form is:

66452 = 2² × 37¹ × 449¹

Step-3: Factors of 66448

List of positive integer factors of 66448 that divides 66448 without a remainder.

1, 2, 4, 8, 16, 4153, 8306, 16612, 33224

Step-4: Factors of 66452

List of positive integer factors of 66452 that divides 66448 without a remainder.

1, 2, 4, 37, 74, 148, 449, 898, 1796, 16613, 33226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66448 and 66452. The biggest common factor number is the GCF number.
So the greatest common factor 66448 and 66452 is 4.

Also check out the Least Common Multiple of 66448 and 66452