What is the Greatest Common Factor of 42994 and 43008?

Greatest common factor (GCF) of 42994 and 43008 is 14.

GCF(42994,43008) = 14

We will now calculate the prime factors of 42994 and 43008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42994 and 43008.

How to find the GCF of 42994 and 43008?

We will first find the prime factorization of 42994 and 43008. After we will calculate the factors of 42994 and 43008 and find the biggest common factor number .

Step-1: Prime Factorization of 42994

Prime factors of 42994 are 2, 7, 37, 83. Prime factorization of 42994 in exponential form is:

42994 = 2¹ × 7¹ × 37¹ × 83¹

Step-2: 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-3: Factors of 42994

List of positive integer factors of 42994 that divides 42994 without a remainder.

1, 2, 7, 14, 37, 74, 83, 166, 259, 518, 581, 1162, 3071, 6142, 21497

Step-4: Factors of 43008

List of positive integer factors of 43008 that divides 42994 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42994 and 43008. The biggest common factor number is the GCF number.
So the greatest common factor 42994 and 43008 is 14.

Also check out the Least Common Multiple of 42994 and 43008