What is the Greatest Common Factor of 29204 and 29217?

Greatest common factor (GCF) of 29204 and 29217 is 1.

GCF(29204,29217) = 1

We will now calculate the prime factors of 29204 and 29217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29204 and 29217.

How to find the GCF of 29204 and 29217?

We will first find the prime factorization of 29204 and 29217. After we will calculate the factors of 29204 and 29217 and find the biggest common factor number .

Step-1: Prime Factorization of 29204

Prime factors of 29204 are 2, 7, 149. Prime factorization of 29204 in exponential form is:

29204 = 2² × 7² × 149¹

Step-2: Prime Factorization of 29217

Prime factors of 29217 are 3, 9739. Prime factorization of 29217 in exponential form is:

29217 = 3¹ × 9739¹

Step-3: Factors of 29204

List of positive integer factors of 29204 that divides 29204 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 149, 196, 298, 596, 1043, 2086, 4172, 7301, 14602

Step-4: Factors of 29217

List of positive integer factors of 29217 that divides 29204 without a remainder.

1, 3, 9739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29204 and 29217. The biggest common factor number is the GCF number.
So the greatest common factor 29204 and 29217 is 1.

Also check out the Least Common Multiple of 29204 and 29217