What is the Greatest Common Factor of 46816 and 46829?

Greatest common factor (GCF) of 46816 and 46829 is 1.

GCF(46816,46829) = 1

We will now calculate the prime factors of 46816 and 46829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46816 and 46829.

How to find the GCF of 46816 and 46829?

We will first find the prime factorization of 46816 and 46829. After we will calculate the factors of 46816 and 46829 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46829

Prime factors of 46829 are 46829. Prime factorization of 46829 in exponential form is:

46829 = 46829¹

Step-3: Factors of 46816

List of positive integer factors of 46816 that divides 46816 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

Step-4: Factors of 46829

List of positive integer factors of 46829 that divides 46816 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46816 and 46829. The biggest common factor number is the GCF number.
So the greatest common factor 46816 and 46829 is 1.

Also check out the Least Common Multiple of 46816 and 46829