What is the Greatest Common Factor of 69375 and 69390?

Greatest common factor (GCF) of 69375 and 69390 is 15.

GCF(69375,69390) = 15

We will now calculate the prime factors of 69375 and 69390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69375 and 69390.

How to find the GCF of 69375 and 69390?

We will first find the prime factorization of 69375 and 69390. After we will calculate the factors of 69375 and 69390 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 69390

Prime factors of 69390 are 2, 3, 5, 257. Prime factorization of 69390 in exponential form is:

69390 = 2¹ × 3³ × 5¹ × 257¹

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 69390

List of positive integer factors of 69390 that divides 69375 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 257, 270, 514, 771, 1285, 1542, 2313, 2570, 3855, 4626, 6939, 7710, 11565, 13878, 23130, 34695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69375 and 69390. The biggest common factor number is the GCF number.
So the greatest common factor 69375 and 69390 is 15.

Also check out the Least Common Multiple of 69375 and 69390