What is the Greatest Common Factor of 69369 and 69388?

Greatest common factor (GCF) of 69369 and 69388 is 19.

GCF(69369,69388) = 19

We will now calculate the prime factors of 69369 and 69388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69369 and 69388.

How to find the GCF of 69369 and 69388?

We will first find the prime factorization of 69369 and 69388. After we will calculate the factors of 69369 and 69388 and find the biggest common factor number .

Step-1: Prime Factorization of 69369

Prime factors of 69369 are 3, 19, 1217. Prime factorization of 69369 in exponential form is:

69369 = 3¹ × 19¹ × 1217¹

Step-2: 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-3: Factors of 69369

List of positive integer factors of 69369 that divides 69369 without a remainder.

1, 3, 19, 57, 1217, 3651, 23123

Step-4: Factors of 69388

List of positive integer factors of 69388 that divides 69369 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69369 and 69388. The biggest common factor number is the GCF number.
So the greatest common factor 69369 and 69388 is 19.

Also check out the Least Common Multiple of 69369 and 69388