What is the Greatest Common Factor of 29189 and 29208?

Greatest common factor (GCF) of 29189 and 29208 is 1.

GCF(29189,29208) = 1

We will now calculate the prime factors of 29189 and 29208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29189 and 29208.

How to find the GCF of 29189 and 29208?

We will first find the prime factorization of 29189 and 29208. After we will calculate the factors of 29189 and 29208 and find the biggest common factor number .

Step-1: Prime Factorization of 29189

Prime factors of 29189 are 17, 101. Prime factorization of 29189 in exponential form is:

29189 = 17² × 101¹

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 29189

List of positive integer factors of 29189 that divides 29189 without a remainder.

1, 17, 101, 289, 1717

Step-4: Factors of 29208

List of positive integer factors of 29208 that divides 29189 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 29189 and 29208. The biggest common factor number is the GCF number.
So the greatest common factor 29189 and 29208 is 1.

Also check out the Least Common Multiple of 29189 and 29208