What is the Greatest Common Factor of 20182 and 20189?

Greatest common factor (GCF) of 20182 and 20189 is 1.

GCF(20182,20189) = 1

We will now calculate the prime factors of 20182 and 20189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20182 and 20189.

How to find the GCF of 20182 and 20189?

We will first find the prime factorization of 20182 and 20189. After we will calculate the factors of 20182 and 20189 and find the biggest common factor number .

Step-1: Prime Factorization of 20182

Prime factors of 20182 are 2, 10091. Prime factorization of 20182 in exponential form is:

20182 = 2¹ × 10091¹

Step-2: Prime Factorization of 20189

Prime factors of 20189 are 13, 1553. Prime factorization of 20189 in exponential form is:

20189 = 13¹ × 1553¹

Step-3: Factors of 20182

List of positive integer factors of 20182 that divides 20182 without a remainder.

1, 2, 10091

Step-4: Factors of 20189

List of positive integer factors of 20189 that divides 20182 without a remainder.

1, 13, 1553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20182 and 20189. The biggest common factor number is the GCF number.
So the greatest common factor 20182 and 20189 is 1.

Also check out the Least Common Multiple of 20182 and 20189