What is the Greatest Common Factor of 87006 and 87017?

Greatest common factor (GCF) of 87006 and 87017 is 1.

GCF(87006,87017) = 1

We will now calculate the prime factors of 87006 and 87017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87006 and 87017.

How to find the GCF of 87006 and 87017?

We will first find the prime factorization of 87006 and 87017. After we will calculate the factors of 87006 and 87017 and find the biggest common factor number .

Step-1: Prime Factorization of 87006

Prime factors of 87006 are 2, 3, 17, 853. Prime factorization of 87006 in exponential form is:

87006 = 2¹ × 3¹ × 17¹ × 853¹

Step-2: Prime Factorization of 87017

Prime factors of 87017 are 7, 31, 401. Prime factorization of 87017 in exponential form is:

87017 = 7¹ × 31¹ × 401¹

Step-3: Factors of 87006

List of positive integer factors of 87006 that divides 87006 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 853, 1706, 2559, 5118, 14501, 29002, 43503

Step-4: Factors of 87017

List of positive integer factors of 87017 that divides 87006 without a remainder.

1, 7, 31, 217, 401, 2807, 12431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87006 and 87017. The biggest common factor number is the GCF number.
So the greatest common factor 87006 and 87017 is 1.

Also check out the Least Common Multiple of 87006 and 87017