What is the Greatest Common Factor of 99361 and 99375?

Greatest common factor (GCF) of 99361 and 99375 is 1.

GCF(99361,99375) = 1

We will now calculate the prime factors of 99361 and 99375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99361 and 99375.

How to find the GCF of 99361 and 99375?

We will first find the prime factorization of 99361 and 99375. After we will calculate the factors of 99361 and 99375 and find the biggest common factor number .

Step-1: Prime Factorization of 99361

Prime factors of 99361 are 67, 1483. Prime factorization of 99361 in exponential form is:

99361 = 67¹ × 1483¹

Step-2: 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-3: Factors of 99361

List of positive integer factors of 99361 that divides 99361 without a remainder.

1, 67, 1483

Step-4: Factors of 99375

List of positive integer factors of 99375 that divides 99361 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99361 and 99375. The biggest common factor number is the GCF number.
So the greatest common factor 99361 and 99375 is 1.

Also check out the Least Common Multiple of 99361 and 99375