What is the Greatest Common Factor of 29216 and 29222?

Greatest common factor (GCF) of 29216 and 29222 is 2.

GCF(29216,29222) = 2

We will now calculate the prime factors of 29216 and 29222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29216 and 29222.

How to find the GCF of 29216 and 29222?

We will first find the prime factorization of 29216 and 29222. After we will calculate the factors of 29216 and 29222 and find the biggest common factor number .

Step-1: Prime Factorization of 29216

Prime factors of 29216 are 2, 11, 83. Prime factorization of 29216 in exponential form is:

29216 = 2⁵ × 11¹ × 83¹

Step-2: Prime Factorization of 29222

Prime factors of 29222 are 2, 19, 769. Prime factorization of 29222 in exponential form is:

29222 = 2¹ × 19¹ × 769¹

Step-3: Factors of 29216

List of positive integer factors of 29216 that divides 29216 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 83, 88, 166, 176, 332, 352, 664, 913, 1328, 1826, 2656, 3652, 7304, 14608

Step-4: Factors of 29222

List of positive integer factors of 29222 that divides 29216 without a remainder.

1, 2, 19, 38, 769, 1538, 14611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29216 and 29222. The biggest common factor number is the GCF number.
So the greatest common factor 29216 and 29222 is 2.

Also check out the Least Common Multiple of 29216 and 29222