What is the Greatest Common Factor of 42896 and 42912?

Greatest common factor (GCF) of 42896 and 42912 is 16.

GCF(42896,42912) = 16

We will now calculate the prime factors of 42896 and 42912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42896 and 42912.

How to find the GCF of 42896 and 42912?

We will first find the prime factorization of 42896 and 42912. After we will calculate the factors of 42896 and 42912 and find the biggest common factor number .

Step-1: Prime Factorization of 42896

Prime factors of 42896 are 2, 7, 383. Prime factorization of 42896 in exponential form is:

42896 = 2⁴ × 7¹ × 383¹

Step-2: Prime Factorization of 42912

Prime factors of 42912 are 2, 3, 149. Prime factorization of 42912 in exponential form is:

42912 = 2⁵ × 3² × 149¹

Step-3: Factors of 42896

List of positive integer factors of 42896 that divides 42896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 383, 766, 1532, 2681, 3064, 5362, 6128, 10724, 21448

Step-4: Factors of 42912

List of positive integer factors of 42912 that divides 42896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 149, 288, 298, 447, 596, 894, 1192, 1341, 1788, 2384, 2682, 3576, 4768, 5364, 7152, 10728, 14304, 21456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42896 and 42912. The biggest common factor number is the GCF number.
So the greatest common factor 42896 and 42912 is 16.

Also check out the Least Common Multiple of 42896 and 42912