What is the Greatest Common Factor of 69369 and 69375?

Greatest common factor (GCF) of 69369 and 69375 is 3.

GCF(69369,69375) = 3

We will now calculate the prime factors of 69369 and 69375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69369 and 69375.

How to find the GCF of 69369 and 69375?

We will first find the prime factorization of 69369 and 69375. After we will calculate the factors of 69369 and 69375 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 69375

Prime factors of 69375 are 3, 5, 37. Prime factorization of 69375 in exponential form is:

69375 = 3¹ × 5⁴ × 37¹

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 69375

List of positive integer factors of 69375 that divides 69369 without a remainder.

1, 3, 5, 15, 25, 37, 75, 111, 125, 185, 375, 555, 625, 925, 1875, 2775, 4625, 13875, 23125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69369 and 69375. The biggest common factor number is the GCF number.
So the greatest common factor 69369 and 69375 is 3.

Also check out the Least Common Multiple of 69369 and 69375