What is the Greatest Common Factor of 69388 and 69399?

Greatest common factor (GCF) of 69388 and 69399 is 11.

GCF(69388,69399) = 11

We will now calculate the prime factors of 69388 and 69399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69388 and 69399.

How to find the GCF of 69388 and 69399?

We will first find the prime factorization of 69388 and 69399. After we will calculate the factors of 69388 and 69399 and find the biggest common factor number .

Step-1: Prime Factorization of 69388

Prime factors of 69388 are 2, 11, 19, 83. Prime factorization of 69388 in exponential form is:

69388 = 2² × 11¹ × 19¹ × 83¹

Step-2: Prime Factorization of 69399

Prime factors of 69399 are 3, 11, 701. Prime factorization of 69399 in exponential form is:

69399 = 3² × 11¹ × 701¹

Step-3: Factors of 69388

List of positive integer factors of 69388 that divides 69388 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 83, 166, 209, 332, 418, 836, 913, 1577, 1826, 3154, 3652, 6308, 17347, 34694

Step-4: Factors of 69399

List of positive integer factors of 69399 that divides 69388 without a remainder.

1, 3, 9, 11, 33, 99, 701, 2103, 6309, 7711, 23133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69388 and 69399. The biggest common factor number is the GCF number.
So the greatest common factor 69388 and 69399 is 11.

Also check out the Least Common Multiple of 69388 and 69399