What is the Greatest Common Factor of 66432 and 66448?

Greatest common factor (GCF) of 66432 and 66448 is 16.

GCF(66432,66448) = 16

We will now calculate the prime factors of 66432 and 66448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66432 and 66448.

How to find the GCF of 66432 and 66448?

We will first find the prime factorization of 66432 and 66448. After we will calculate the factors of 66432 and 66448 and find the biggest common factor number .

Step-1: Prime Factorization of 66432

Prime factors of 66432 are 2, 3, 173. Prime factorization of 66432 in exponential form is:

66432 = 2⁷ × 3¹ × 173¹

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 66432

List of positive integer factors of 66432 that divides 66432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 173, 192, 346, 384, 519, 692, 1038, 1384, 2076, 2768, 4152, 5536, 8304, 11072, 16608, 22144, 33216

Step-4: Factors of 66448

List of positive integer factors of 66448 that divides 66432 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 66432 and 66448. The biggest common factor number is the GCF number.
So the greatest common factor 66432 and 66448 is 16.

Also check out the Least Common Multiple of 66432 and 66448