What is the Greatest Common Factor of 29216 and 29236?

Greatest common factor (GCF) of 29216 and 29236 is 4.

GCF(29216,29236) = 4

We will now calculate the prime factors of 29216 and 29236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29216 and 29236.

How to find the GCF of 29216 and 29236?

We will first find the prime factorization of 29216 and 29236. After we will calculate the factors of 29216 and 29236 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 29236

Prime factors of 29236 are 2, 7309. Prime factorization of 29236 in exponential form is:

29236 = 2² × 7309¹

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 29236

List of positive integer factors of 29236 that divides 29216 without a remainder.

1, 2, 4, 7309, 14618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29216 and 29236. The biggest common factor number is the GCF number.
So the greatest common factor 29216 and 29236 is 4.

Also check out the Least Common Multiple of 29216 and 29236