What is the Greatest Common Factor of 99375 and 99387?

Greatest common factor (GCF) of 99375 and 99387 is 3.

GCF(99375,99387) = 3

We will now calculate the prime factors of 99375 and 99387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99375 and 99387.

How to find the GCF of 99375 and 99387?

We will first find the prime factorization of 99375 and 99387. After we will calculate the factors of 99375 and 99387 and find the biggest common factor number .

Step-1: Prime Factorization of 99375

Prime factors of 99375 are 3, 5, 53. Prime factorization of 99375 in exponential form is:

99375 = 3¹ × 5⁴ × 53¹

Step-2: Prime Factorization of 99387

Prime factors of 99387 are 3, 409. Prime factorization of 99387 in exponential form is:

99387 = 3⁵ × 409¹

Step-3: Factors of 99375

List of positive integer factors of 99375 that divides 99375 without a remainder.

1, 3, 5, 15, 25, 53, 75, 125, 159, 265, 375, 625, 795, 1325, 1875, 3975, 6625, 19875, 33125

Step-4: Factors of 99387

List of positive integer factors of 99387 that divides 99375 without a remainder.

1, 3, 9, 27, 81, 243, 409, 1227, 3681, 11043, 33129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99375 and 99387. The biggest common factor number is the GCF number.
So the greatest common factor 99375 and 99387 is 3.

Also check out the Least Common Multiple of 99375 and 99387