What is the Greatest Common Factor of 46816 and 46822?

Greatest common factor (GCF) of 46816 and 46822 is 2.

GCF(46816,46822) = 2

We will now calculate the prime factors of 46816 and 46822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46816 and 46822.

How to find the GCF of 46816 and 46822?

We will first find the prime factorization of 46816 and 46822. After we will calculate the factors of 46816 and 46822 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 46822

Prime factors of 46822 are 2, 41, 571. Prime factorization of 46822 in exponential form is:

46822 = 2¹ × 41¹ × 571¹

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 46822

List of positive integer factors of 46822 that divides 46816 without a remainder.

1, 2, 41, 82, 571, 1142, 23411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46816 and 46822. The biggest common factor number is the GCF number.
So the greatest common factor 46816 and 46822 is 2.

Also check out the Least Common Multiple of 46816 and 46822