What is the Greatest Common Factor of 66436 and 66448?

Greatest common factor (GCF) of 66436 and 66448 is 4.

GCF(66436,66448) = 4

We will now calculate the prime factors of 66436 and 66448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66436 and 66448.

How to find the GCF of 66436 and 66448?

We will first find the prime factorization of 66436 and 66448. After we will calculate the factors of 66436 and 66448 and find the biggest common factor number .

Step-1: Prime Factorization of 66436

Prime factors of 66436 are 2, 17, 977. Prime factorization of 66436 in exponential form is:

66436 = 2² × 17¹ × 977¹

Step-2: Prime Factorization of 66448

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

66448 = 2⁴ × 4153¹

Step-3: Factors of 66436

List of positive integer factors of 66436 that divides 66436 without a remainder.

1, 2, 4, 17, 34, 68, 977, 1954, 3908, 16609, 33218

Step-4: Factors of 66448

List of positive integer factors of 66448 that divides 66436 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66436 and 66448. The biggest common factor number is the GCF number.
So the greatest common factor 66436 and 66448 is 4.

Also check out the Least Common Multiple of 66436 and 66448