What is the Greatest Common Factor of 69375 and 69381?

Greatest common factor (GCF) of 69375 and 69381 is 3.

GCF(69375,69381) = 3

We will now calculate the prime factors of 69375 and 69381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69375 and 69381.

How to find the GCF of 69375 and 69381?

We will first find the prime factorization of 69375 and 69381. After we will calculate the factors of 69375 and 69381 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69381

Prime factors of 69381 are 3, 13, 593. Prime factorization of 69381 in exponential form is:

69381 = 3² × 13¹ × 593¹

Step-3: Factors of 69375

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

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

Step-4: Factors of 69381

List of positive integer factors of 69381 that divides 69375 without a remainder.

1, 3, 9, 13, 39, 117, 593, 1779, 5337, 7709, 23127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69375 and 69381. The biggest common factor number is the GCF number.
So the greatest common factor 69375 and 69381 is 3.

Also check out the Least Common Multiple of 69375 and 69381