What is the Greatest Common Factor of 46803 and 46816?

Greatest common factor (GCF) of 46803 and 46816 is 1.

GCF(46803,46816) = 1

We will now calculate the prime factors of 46803 and 46816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46803 and 46816.

How to find the GCF of 46803 and 46816?

We will first find the prime factorization of 46803 and 46816. After we will calculate the factors of 46803 and 46816 and find the biggest common factor number .

Step-1: Prime Factorization of 46803

Prime factors of 46803 are 3, 15601. Prime factorization of 46803 in exponential form is:

46803 = 3¹ × 15601¹

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 46803

List of positive integer factors of 46803 that divides 46803 without a remainder.

1, 3, 15601

Step-4: Factors of 46816

List of positive integer factors of 46816 that divides 46803 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 46803 and 46816. The biggest common factor number is the GCF number.
So the greatest common factor 46803 and 46816 is 1.

Also check out the Least Common Multiple of 46803 and 46816