What is the Greatest Common Factor of 91858 and 91871?

Greatest common factor (GCF) of 91858 and 91871 is 13.

GCF(91858,91871) = 13

We will now calculate the prime factors of 91858 and 91871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91858 and 91871.

How to find the GCF of 91858 and 91871?

We will first find the prime factorization of 91858 and 91871. After we will calculate the factors of 91858 and 91871 and find the biggest common factor number .

Step-1: Prime Factorization of 91858

Prime factors of 91858 are 2, 13, 3533. Prime factorization of 91858 in exponential form is:

91858 = 2¹ × 13¹ × 3533¹

Step-2: Prime Factorization of 91871

Prime factors of 91871 are 13, 37, 191. Prime factorization of 91871 in exponential form is:

91871 = 13¹ × 37¹ × 191¹

Step-3: Factors of 91858

List of positive integer factors of 91858 that divides 91858 without a remainder.

1, 2, 13, 26, 3533, 7066, 45929

Step-4: Factors of 91871

List of positive integer factors of 91871 that divides 91858 without a remainder.

1, 13, 37, 191, 481, 2483, 7067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91858 and 91871. The biggest common factor number is the GCF number.
So the greatest common factor 91858 and 91871 is 13.

Also check out the Least Common Multiple of 91858 and 91871