What is the Greatest Common Factor of 86054 and 86071?

Greatest common factor (GCF) of 86054 and 86071 is 17.

GCF(86054,86071) = 17

We will now calculate the prime factors of 86054 and 86071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86054 and 86071.

How to find the GCF of 86054 and 86071?

We will first find the prime factorization of 86054 and 86071. After we will calculate the factors of 86054 and 86071 and find the biggest common factor number .

Step-1: Prime Factorization of 86054

Prime factors of 86054 are 2, 17, 2531. Prime factorization of 86054 in exponential form is:

86054 = 2¹ × 17¹ × 2531¹

Step-2: Prime Factorization of 86071

Prime factors of 86071 are 17, 61, 83. Prime factorization of 86071 in exponential form is:

86071 = 17¹ × 61¹ × 83¹

Step-3: Factors of 86054

List of positive integer factors of 86054 that divides 86054 without a remainder.

1, 2, 17, 34, 2531, 5062, 43027

Step-4: Factors of 86071

List of positive integer factors of 86071 that divides 86054 without a remainder.

1, 17, 61, 83, 1037, 1411, 5063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86054 and 86071. The biggest common factor number is the GCF number.
So the greatest common factor 86054 and 86071 is 17.

Also check out the Least Common Multiple of 86054 and 86071