What is the Greatest Common Factor of 87159 and 87175?

Greatest common factor (GCF) of 87159 and 87175 is 1.

GCF(87159,87175) = 1

We will now calculate the prime factors of 87159 and 87175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87159 and 87175.

How to find the GCF of 87159 and 87175?

We will first find the prime factorization of 87159 and 87175. After we will calculate the factors of 87159 and 87175 and find the biggest common factor number .

Step-1: Prime Factorization of 87159

Prime factors of 87159 are 3, 17, 1709. Prime factorization of 87159 in exponential form is:

87159 = 3¹ × 17¹ × 1709¹

Step-2: Prime Factorization of 87175

Prime factors of 87175 are 5, 11, 317. Prime factorization of 87175 in exponential form is:

87175 = 5² × 11¹ × 317¹

Step-3: Factors of 87159

List of positive integer factors of 87159 that divides 87159 without a remainder.

1, 3, 17, 51, 1709, 5127, 29053

Step-4: Factors of 87175

List of positive integer factors of 87175 that divides 87159 without a remainder.

1, 5, 11, 25, 55, 275, 317, 1585, 3487, 7925, 17435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87159 and 87175. The biggest common factor number is the GCF number.
So the greatest common factor 87159 and 87175 is 1.

Also check out the Least Common Multiple of 87159 and 87175