What is the Greatest Common Factor of 69396 and 69409?

Greatest common factor (GCF) of 69396 and 69409 is 1.

GCF(69396,69409) = 1

We will now calculate the prime factors of 69396 and 69409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69396 and 69409.

How to find the GCF of 69396 and 69409?

We will first find the prime factorization of 69396 and 69409. After we will calculate the factors of 69396 and 69409 and find the biggest common factor number .

Step-1: Prime Factorization of 69396

Prime factors of 69396 are 2, 3, 5783. Prime factorization of 69396 in exponential form is:

69396 = 2² × 3¹ × 5783¹

Step-2: Prime Factorization of 69409

Prime factors of 69409 are 31, 2239. Prime factorization of 69409 in exponential form is:

69409 = 31¹ × 2239¹

Step-3: Factors of 69396

List of positive integer factors of 69396 that divides 69396 without a remainder.

1, 2, 3, 4, 6, 12, 5783, 11566, 17349, 23132, 34698

Step-4: Factors of 69409

List of positive integer factors of 69409 that divides 69396 without a remainder.

1, 31, 2239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69396 and 69409. The biggest common factor number is the GCF number.
So the greatest common factor 69396 and 69409 is 1.

Also check out the Least Common Multiple of 69396 and 69409