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What is the Greatest Common Factor of 46804 and 46816?

Greatest common factor (GCF) of 46804 and 46816 is 4.

GCF(46804,46816) = 4

We will now calculate the prime factors of 46804 and 46816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46804 and 46816.

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How to find the GCF of 46804 and 46816?

We will first find the prime factorization of 46804 and 46816. After we will calculate the factors of 46804 and 46816 and find the biggest common factor number .

Step-1: Prime Factorization of 46804

Prime factors of 46804 are 2, 11701. Prime factorization of 46804 in exponential form is:

46804 = 22 × 117011

Step-2: Prime Factorization of 46816

Prime factors of 46816 are 2, 7, 11, 19. Prime factorization of 46816 in exponential form is:

46816 = 25 × 71 × 111 × 191

Step-3: Factors of 46804

List of positive integer factors of 46804 that divides 46804 without a remainder.

1, 2, 4, 11701, 23402

Step-4: Factors of 46816

List of positive integer factors of 46816 that divides 46804 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 19, 22, 28, 32, 38, 44, 56, 76, 77, 88, 112, 133, 152, 154, 176, 209, 224, 266, 304, 308, 352, 418, 532, 608, 616, 836, 1064, 1232, 1463, 1672, 2128, 2464, 2926, 3344, 4256, 5852, 6688, 11704, 23408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46804 and 46816. The biggest common factor number is the GCF number.
So the greatest common factor 46804 and 46816 is 4.

Also check out the Least Common Multiple of 46804 and 46816