What is the Greatest Common Factor of 29204 and 29219?

Greatest common factor (GCF) of 29204 and 29219 is 1.

GCF(29204,29219) = 1

We will now calculate the prime factors of 29204 and 29219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29204 and 29219.

How to find the GCF of 29204 and 29219?

We will first find the prime factorization of 29204 and 29219. After we will calculate the factors of 29204 and 29219 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 29219

Prime factors of 29219 are 61, 479. Prime factorization of 29219 in exponential form is:

29219 = 61¹ × 479¹

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 29219

List of positive integer factors of 29219 that divides 29204 without a remainder.

1, 61, 479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29204 and 29219. The biggest common factor number is the GCF number.
So the greatest common factor 29204 and 29219 is 1.

Also check out the Least Common Multiple of 29204 and 29219