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What is the Greatest Common Factor of 16896 and 16904?

Greatest common factor (GCF) of 16896 and 16904 is 8.

GCF(16896,16904) = 8

We will now calculate the prime factors of 16896 and 16904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16896 and 16904.

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How to find the GCF of 16896 and 16904?

We will first find the prime factorization of 16896 and 16904. After we will calculate the factors of 16896 and 16904 and find the biggest common factor number .

Step-1: Prime Factorization of 16896

Prime factors of 16896 are 2, 3, 11. Prime factorization of 16896 in exponential form is:

16896 = 29 × 31 × 111

Step-2: Prime Factorization of 16904

Prime factors of 16904 are 2, 2113. Prime factorization of 16904 in exponential form is:

16904 = 23 × 21131

Step-3: Factors of 16896

List of positive integer factors of 16896 that divides 16896 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 512, 528, 704, 768, 1056, 1408, 1536, 2112, 2816, 4224, 5632, 8448

Step-4: Factors of 16904

List of positive integer factors of 16904 that divides 16896 without a remainder.

1, 2, 4, 8, 2113, 4226, 8452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16896 and 16904. The biggest common factor number is the GCF number.
So the greatest common factor 16896 and 16904 is 8.

Also check out the Least Common Multiple of 16896 and 16904