What is the Greatest Common Factor of 29202 and 29216?

Greatest common factor (GCF) of 29202 and 29216 is 2.

GCF(29202,29216) = 2

We will now calculate the prime factors of 29202 and 29216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29202 and 29216.

How to find the GCF of 29202 and 29216?

We will first find the prime factorization of 29202 and 29216. After we will calculate the factors of 29202 and 29216 and find the biggest common factor number .

Step-1: Prime Factorization of 29202

Prime factors of 29202 are 2, 3, 31, 157. Prime factorization of 29202 in exponential form is:

29202 = 2¹ × 3¹ × 31¹ × 157¹

Step-2: 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-3: Factors of 29202

List of positive integer factors of 29202 that divides 29202 without a remainder.

1, 2, 3, 6, 31, 62, 93, 157, 186, 314, 471, 942, 4867, 9734, 14601

Step-4: Factors of 29216

List of positive integer factors of 29216 that divides 29202 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29202 and 29216. The biggest common factor number is the GCF number.
So the greatest common factor 29202 and 29216 is 2.

Also check out the Least Common Multiple of 29202 and 29216