What is the Greatest Common Factor of 46797 and 46816?

Greatest common factor (GCF) of 46797 and 46816 is 19.

GCF(46797,46816) = 19

We will now calculate the prime factors of 46797 and 46816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46797 and 46816.

How to find the GCF of 46797 and 46816?

We will first find the prime factorization of 46797 and 46816. After we will calculate the factors of 46797 and 46816 and find the biggest common factor number .

Step-1: Prime Factorization of 46797

Prime factors of 46797 are 3, 19, 821. Prime factorization of 46797 in exponential form is:

46797 = 3¹ × 19¹ × 821¹

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 46797

List of positive integer factors of 46797 that divides 46797 without a remainder.

1, 3, 19, 57, 821, 2463, 15599

Step-4: Factors of 46816

List of positive integer factors of 46816 that divides 46797 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 46797 and 46816. The biggest common factor number is the GCF number.
So the greatest common factor 46797 and 46816 is 19.

Also check out the Least Common Multiple of 46797 and 46816