What is the Greatest Common Factor of 43008 and 43022?

Greatest common factor (GCF) of 43008 and 43022 is 14.

GCF(43008,43022) = 14

We will now calculate the prime factors of 43008 and 43022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43008 and 43022.

How to find the GCF of 43008 and 43022?

We will first find the prime factorization of 43008 and 43022. After we will calculate the factors of 43008 and 43022 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 43022

Prime factors of 43022 are 2, 7, 439. Prime factorization of 43022 in exponential form is:

43022 = 2¹ × 7² × 439¹

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 43022

List of positive integer factors of 43022 that divides 43008 without a remainder.

1, 2, 7, 14, 49, 98, 439, 878, 3073, 6146, 21511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43008 and 43022. The biggest common factor number is the GCF number.
So the greatest common factor 43008 and 43022 is 14.

Also check out the Least Common Multiple of 43008 and 43022