What is the Greatest Common Factor of 87017 and 87031?

Greatest common factor (GCF) of 87017 and 87031 is 7.

GCF(87017,87031) = 7

We will now calculate the prime factors of 87017 and 87031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87017 and 87031.

How to find the GCF of 87017 and 87031?

We will first find the prime factorization of 87017 and 87031. After we will calculate the factors of 87017 and 87031 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87031

Prime factors of 87031 are 7, 12433. Prime factorization of 87031 in exponential form is:

87031 = 7¹ × 12433¹

Step-3: Factors of 87017

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

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

Step-4: Factors of 87031

List of positive integer factors of 87031 that divides 87017 without a remainder.

1, 7, 12433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87017 and 87031. The biggest common factor number is the GCF number.
So the greatest common factor 87017 and 87031 is 7.

Also check out the Least Common Multiple of 87017 and 87031