What is the Greatest Common Factor of 29235 and 29249?

Greatest common factor (GCF) of 29235 and 29249 is 1.

GCF(29235,29249) = 1

We will now calculate the prime factors of 29235 and 29249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29235 and 29249.

How to find the GCF of 29235 and 29249?

We will first find the prime factorization of 29235 and 29249. After we will calculate the factors of 29235 and 29249 and find the biggest common factor number .

Step-1: Prime Factorization of 29235

Prime factors of 29235 are 3, 5, 1949. Prime factorization of 29235 in exponential form is:

29235 = 3¹ × 5¹ × 1949¹

Step-2: Prime Factorization of 29249

Prime factors of 29249 are 11, 2659. Prime factorization of 29249 in exponential form is:

29249 = 11¹ × 2659¹

Step-3: Factors of 29235

List of positive integer factors of 29235 that divides 29235 without a remainder.

1, 3, 5, 15, 1949, 5847, 9745

Step-4: Factors of 29249

List of positive integer factors of 29249 that divides 29235 without a remainder.

1, 11, 2659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29235 and 29249. The biggest common factor number is the GCF number.
So the greatest common factor 29235 and 29249 is 1.

Also check out the Least Common Multiple of 29235 and 29249