What is the Greatest Common Factor of 29188 and 29208?

Greatest common factor (GCF) of 29188 and 29208 is 4.

GCF(29188,29208) = 4

We will now calculate the prime factors of 29188 and 29208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29188 and 29208.

How to find the GCF of 29188 and 29208?

We will first find the prime factorization of 29188 and 29208. After we will calculate the factors of 29188 and 29208 and find the biggest common factor number .

Step-1: Prime Factorization of 29188

Prime factors of 29188 are 2, 7297. Prime factorization of 29188 in exponential form is:

29188 = 2² × 7297¹

Step-2: Prime Factorization of 29208

Prime factors of 29208 are 2, 3, 1217. Prime factorization of 29208 in exponential form is:

29208 = 2³ × 3¹ × 1217¹

Step-3: Factors of 29188

List of positive integer factors of 29188 that divides 29188 without a remainder.

1, 2, 4, 7297, 14594

Step-4: Factors of 29208

List of positive integer factors of 29208 that divides 29188 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1217, 2434, 3651, 4868, 7302, 9736, 14604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29188 and 29208. The biggest common factor number is the GCF number.
So the greatest common factor 29188 and 29208 is 4.

Also check out the Least Common Multiple of 29188 and 29208