What is the Greatest Common Factor of 43008 and 43017?

Greatest common factor (GCF) of 43008 and 43017 is 3.

GCF(43008,43017) = 3

We will now calculate the prime factors of 43008 and 43017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43008 and 43017.

How to find the GCF of 43008 and 43017?

We will first find the prime factorization of 43008 and 43017. After we will calculate the factors of 43008 and 43017 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 43017

Prime factors of 43017 are 3, 13, 1103. Prime factorization of 43017 in exponential form is:

43017 = 3¹ × 13¹ × 1103¹

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 43017

List of positive integer factors of 43017 that divides 43008 without a remainder.

1, 3, 13, 39, 1103, 3309, 14339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43008 and 43017. The biggest common factor number is the GCF number.
So the greatest common factor 43008 and 43017 is 3.

Also check out the Least Common Multiple of 43008 and 43017