What is the Greatest Common Factor of 29385 and 29392?

Greatest common factor (GCF) of 29385 and 29392 is 1.

GCF(29385,29392) = 1

We will now calculate the prime factors of 29385 and 29392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29385 and 29392.

How to find the GCF of 29385 and 29392?

We will first find the prime factorization of 29385 and 29392. After we will calculate the factors of 29385 and 29392 and find the biggest common factor number .

Step-1: Prime Factorization of 29385

Prime factors of 29385 are 3, 5, 653. Prime factorization of 29385 in exponential form is:

29385 = 3² × 5¹ × 653¹

Step-2: Prime Factorization of 29392

Prime factors of 29392 are 2, 11, 167. Prime factorization of 29392 in exponential form is:

29392 = 2⁴ × 11¹ × 167¹

Step-3: Factors of 29385

List of positive integer factors of 29385 that divides 29385 without a remainder.

1, 3, 5, 9, 15, 45, 653, 1959, 3265, 5877, 9795

Step-4: Factors of 29392

List of positive integer factors of 29392 that divides 29385 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 167, 176, 334, 668, 1336, 1837, 2672, 3674, 7348, 14696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29385 and 29392. The biggest common factor number is the GCF number.
So the greatest common factor 29385 and 29392 is 1.

Also check out the Least Common Multiple of 29385 and 29392