What is the Greatest Common Factor of 29189 and 29206?

Greatest common factor (GCF) of 29189 and 29206 is 17.

GCF(29189,29206) = 17

We will now calculate the prime factors of 29189 and 29206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29189 and 29206.

How to find the GCF of 29189 and 29206?

We will first find the prime factorization of 29189 and 29206. After we will calculate the factors of 29189 and 29206 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 29206

Prime factors of 29206 are 2, 17, 859. Prime factorization of 29206 in exponential form is:

29206 = 2¹ × 17¹ × 859¹

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 29206

List of positive integer factors of 29206 that divides 29189 without a remainder.

1, 2, 17, 34, 859, 1718, 14603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29189 and 29206. The biggest common factor number is the GCF number.
So the greatest common factor 29189 and 29206 is 17.

Also check out the Least Common Multiple of 29189 and 29206