What is the Greatest Common Factor of 69375 and 69392?

Greatest common factor (GCF) of 69375 and 69392 is 1.

GCF(69375,69392) = 1

We will now calculate the prime factors of 69375 and 69392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69375 and 69392.

How to find the GCF of 69375 and 69392?

We will first find the prime factorization of 69375 and 69392. After we will calculate the factors of 69375 and 69392 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 69392

Prime factors of 69392 are 2, 4337. Prime factorization of 69392 in exponential form is:

69392 = 2⁴ × 4337¹

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 69392

List of positive integer factors of 69392 that divides 69375 without a remainder.

1, 2, 4, 8, 16, 4337, 8674, 17348, 34696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69375 and 69392. The biggest common factor number is the GCF number.
So the greatest common factor 69375 and 69392 is 1.

Also check out the Least Common Multiple of 69375 and 69392