What is the Greatest Common Factor of 43008 and 43024?

Greatest common factor (GCF) of 43008 and 43024 is 16.

GCF(43008,43024) = 16

We will now calculate the prime factors of 43008 and 43024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43008 and 43024.

How to find the GCF of 43008 and 43024?

We will first find the prime factorization of 43008 and 43024. After we will calculate the factors of 43008 and 43024 and find the biggest common factor number .

Step-1: Prime Factorization of 43008

Prime factors of 43008 are 2, 3, 7. Prime factorization of 43008 in exponential form is:

43008 = 2¹¹ × 3¹ × 7¹

Step-2: Prime Factorization of 43024

Prime factors of 43024 are 2, 2689. Prime factorization of 43024 in exponential form is:

43024 = 2⁴ × 2689¹

Step-3: Factors of 43008

List of positive integer factors of 43008 that divides 43008 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 512, 672, 768, 896, 1024, 1344, 1536, 1792, 2048, 2688, 3072, 3584, 5376, 6144, 7168, 10752, 14336, 21504

Step-4: Factors of 43024

List of positive integer factors of 43024 that divides 43008 without a remainder.

1, 2, 4, 8, 16, 2689, 5378, 10756, 21512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43008 and 43024. The biggest common factor number is the GCF number.
So the greatest common factor 43008 and 43024 is 16.

Also check out the Least Common Multiple of 43008 and 43024