What is the Greatest Common Factor of 29382 and 29395?

Greatest common factor (GCF) of 29382 and 29395 is 1.

GCF(29382,29395) = 1

We will now calculate the prime factors of 29382 and 29395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29382 and 29395.

How to find the GCF of 29382 and 29395?

We will first find the prime factorization of 29382 and 29395. After we will calculate the factors of 29382 and 29395 and find the biggest common factor number .

Step-1: Prime Factorization of 29382

Prime factors of 29382 are 2, 3, 59, 83. Prime factorization of 29382 in exponential form is:

29382 = 2¹ × 3¹ × 59¹ × 83¹

Step-2: Prime Factorization of 29395

Prime factors of 29395 are 5, 5879. Prime factorization of 29395 in exponential form is:

29395 = 5¹ × 5879¹

Step-3: Factors of 29382

List of positive integer factors of 29382 that divides 29382 without a remainder.

1, 2, 3, 6, 59, 83, 118, 166, 177, 249, 354, 498, 4897, 9794, 14691

Step-4: Factors of 29395

List of positive integer factors of 29395 that divides 29382 without a remainder.

1, 5, 5879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29382 and 29395. The biggest common factor number is the GCF number.
So the greatest common factor 29382 and 29395 is 1.

Also check out the Least Common Multiple of 29382 and 29395