What is the Greatest Common Factor of 23109 and 23114?

Greatest common factor (GCF) of 23109 and 23114 is 1.

GCF(23109,23114) = 1

We will now calculate the prime factors of 23109 and 23114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23109 and 23114.

How to find the GCF of 23109 and 23114?

We will first find the prime factorization of 23109 and 23114. After we will calculate the factors of 23109 and 23114 and find the biggest common factor number .

Step-1: Prime Factorization of 23109

Prime factors of 23109 are 3, 7703. Prime factorization of 23109 in exponential form is:

23109 = 3¹ × 7703¹

Step-2: Prime Factorization of 23114

Prime factors of 23114 are 2, 7, 13, 127. Prime factorization of 23114 in exponential form is:

23114 = 2¹ × 7¹ × 13¹ × 127¹

Step-3: Factors of 23109

List of positive integer factors of 23109 that divides 23109 without a remainder.

1, 3, 7703

Step-4: Factors of 23114

List of positive integer factors of 23114 that divides 23109 without a remainder.

1, 2, 7, 13, 14, 26, 91, 127, 182, 254, 889, 1651, 1778, 3302, 11557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23109 and 23114. The biggest common factor number is the GCF number.
So the greatest common factor 23109 and 23114 is 1.

Also check out the Least Common Multiple of 23109 and 23114