What is the Greatest Common Factor of 87142 and 87159?

Greatest common factor (GCF) of 87142 and 87159 is 17.

GCF(87142,87159) = 17

We will now calculate the prime factors of 87142 and 87159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87142 and 87159.

How to find the GCF of 87142 and 87159?

We will first find the prime factorization of 87142 and 87159. After we will calculate the factors of 87142 and 87159 and find the biggest common factor number .

Step-1: Prime Factorization of 87142

Prime factors of 87142 are 2, 11, 17, 233. Prime factorization of 87142 in exponential form is:

87142 = 2¹ × 11¹ × 17¹ × 233¹

Step-2: 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-3: Factors of 87142

List of positive integer factors of 87142 that divides 87142 without a remainder.

1, 2, 11, 17, 22, 34, 187, 233, 374, 466, 2563, 3961, 5126, 7922, 43571

Step-4: Factors of 87159

List of positive integer factors of 87159 that divides 87142 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87142 and 87159. The biggest common factor number is the GCF number.
So the greatest common factor 87142 and 87159 is 17.

Also check out the Least Common Multiple of 87142 and 87159