What is the Greatest Common Factor of 10109 and 10117?

Greatest common factor (GCF) of 10109 and 10117 is 1.

GCF(10109,10117) = 1

We will now calculate the prime factors of 10109 and 10117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10109 and 10117.

How to find the GCF of 10109 and 10117?

We will first find the prime factorization of 10109 and 10117. After we will calculate the factors of 10109 and 10117 and find the biggest common factor number .

Step-1: Prime Factorization of 10109

Prime factors of 10109 are 11, 919. Prime factorization of 10109 in exponential form is:

10109 = 11¹ × 919¹

Step-2: Prime Factorization of 10117

Prime factors of 10117 are 67, 151. Prime factorization of 10117 in exponential form is:

10117 = 67¹ × 151¹

Step-3: Factors of 10109

List of positive integer factors of 10109 that divides 10109 without a remainder.

1, 11, 919

Step-4: Factors of 10117

List of positive integer factors of 10117 that divides 10109 without a remainder.

1, 67, 151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10109 and 10117. The biggest common factor number is the GCF number.
So the greatest common factor 10109 and 10117 is 1.

Also check out the Least Common Multiple of 10109 and 10117