What is the Greatest Common Factor of 69395 and 69405?

Greatest common factor (GCF) of 69395 and 69405 is 5.

GCF(69395,69405) = 5

We will now calculate the prime factors of 69395 and 69405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69395 and 69405.

How to find the GCF of 69395 and 69405?

We will first find the prime factorization of 69395 and 69405. After we will calculate the factors of 69395 and 69405 and find the biggest common factor number .

Step-1: Prime Factorization of 69395

Prime factors of 69395 are 5, 13879. Prime factorization of 69395 in exponential form is:

69395 = 5¹ × 13879¹

Step-2: Prime Factorization of 69405

Prime factors of 69405 are 3, 5, 7, 661. Prime factorization of 69405 in exponential form is:

69405 = 3¹ × 5¹ × 7¹ × 661¹

Step-3: Factors of 69395

List of positive integer factors of 69395 that divides 69395 without a remainder.

1, 5, 13879

Step-4: Factors of 69405

List of positive integer factors of 69405 that divides 69395 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 661, 1983, 3305, 4627, 9915, 13881, 23135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69395 and 69405. The biggest common factor number is the GCF number.
So the greatest common factor 69395 and 69405 is 5.

Also check out the Least Common Multiple of 69395 and 69405