What is the Greatest Common Factor of 46816 and 46836?

Greatest common factor (GCF) of 46816 and 46836 is 4.

GCF(46816,46836) = 4

We will now calculate the prime factors of 46816 and 46836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46816 and 46836.

How to find the GCF of 46816 and 46836?

We will first find the prime factorization of 46816 and 46836. After we will calculate the factors of 46816 and 46836 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 46836

Prime factors of 46836 are 2, 3, 1301. Prime factorization of 46836 in exponential form is:

46836 = 2² × 3² × 1301¹

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 46836

List of positive integer factors of 46836 that divides 46816 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1301, 2602, 3903, 5204, 7806, 11709, 15612, 23418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46816 and 46836. The biggest common factor number is the GCF number.
So the greatest common factor 46816 and 46836 is 4.

Also check out the Least Common Multiple of 46816 and 46836