What is the Greatest Common Factor of 69375 and 69395?

Greatest common factor (GCF) of 69375 and 69395 is 5.

GCF(69375,69395) = 5

We will now calculate the prime factors of 69375 and 69395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69375 and 69395.

How to find the GCF of 69375 and 69395?

We will first find the prime factorization of 69375 and 69395. After we will calculate the factors of 69375 and 69395 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 69395

Prime factors of 69395 are 5, 13879. Prime factorization of 69395 in exponential form is:

69395 = 5¹ × 13879¹

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 69395

List of positive integer factors of 69395 that divides 69375 without a remainder.

1, 5, 13879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69375 and 69395. The biggest common factor number is the GCF number.
So the greatest common factor 69375 and 69395 is 5.

Also check out the Least Common Multiple of 69375 and 69395