What is the Greatest Common Factor of 43008 and 43020?

Greatest common factor (GCF) of 43008 and 43020 is 12.

GCF(43008,43020) = 12

We will now calculate the prime factors of 43008 and 43020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43008 and 43020.

How to find the GCF of 43008 and 43020?

We will first find the prime factorization of 43008 and 43020. After we will calculate the factors of 43008 and 43020 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 43020

Prime factors of 43020 are 2, 3, 5, 239. Prime factorization of 43020 in exponential form is:

43020 = 2² × 3² × 5¹ × 239¹

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 43020

List of positive integer factors of 43020 that divides 43008 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 239, 478, 717, 956, 1195, 1434, 2151, 2390, 2868, 3585, 4302, 4780, 7170, 8604, 10755, 14340, 21510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43008 and 43020. The biggest common factor number is the GCF number.
So the greatest common factor 43008 and 43020 is 12.

Also check out the Least Common Multiple of 43008 and 43020