What is the Greatest Common Factor of 18101 and 18117?

Greatest common factor (GCF) of 18101 and 18117 is 1.

GCF(18101,18117) = 1

We will now calculate the prime factors of 18101 and 18117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18101 and 18117.

How to find the GCF of 18101 and 18117?

We will first find the prime factorization of 18101 and 18117. After we will calculate the factors of 18101 and 18117 and find the biggest common factor number .

Step-1: Prime Factorization of 18101

Prime factors of 18101 are 23, 787. Prime factorization of 18101 in exponential form is:

18101 = 23¹ × 787¹

Step-2: Prime Factorization of 18117

Prime factors of 18117 are 3, 11, 61. Prime factorization of 18117 in exponential form is:

18117 = 3³ × 11¹ × 61¹

Step-3: Factors of 18101

List of positive integer factors of 18101 that divides 18101 without a remainder.

1, 23, 787

Step-4: Factors of 18117

List of positive integer factors of 18117 that divides 18101 without a remainder.

1, 3, 9, 11, 27, 33, 61, 99, 183, 297, 549, 671, 1647, 2013, 6039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18101 and 18117. The biggest common factor number is the GCF number.
So the greatest common factor 18101 and 18117 is 1.

Also check out the Least Common Multiple of 18101 and 18117