What is the Greatest Common Factor of 20109 and 20114?

Greatest common factor (GCF) of 20109 and 20114 is 1.

GCF(20109,20114) = 1

We will now calculate the prime factors of 20109 and 20114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20109 and 20114.

How to find the GCF of 20109 and 20114?

We will first find the prime factorization of 20109 and 20114. After we will calculate the factors of 20109 and 20114 and find the biggest common factor number .

Step-1: Prime Factorization of 20109

Prime factors of 20109 are 3, 6703. Prime factorization of 20109 in exponential form is:

20109 = 3¹ × 6703¹

Step-2: Prime Factorization of 20114

Prime factors of 20114 are 2, 89, 113. Prime factorization of 20114 in exponential form is:

20114 = 2¹ × 89¹ × 113¹

Step-3: Factors of 20109

List of positive integer factors of 20109 that divides 20109 without a remainder.

1, 3, 6703

Step-4: Factors of 20114

List of positive integer factors of 20114 that divides 20109 without a remainder.

1, 2, 89, 113, 178, 226, 10057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20109 and 20114. The biggest common factor number is the GCF number.
So the greatest common factor 20109 and 20114 is 1.

Also check out the Least Common Multiple of 20109 and 20114