What is the Greatest Common Factor of 20091 and 20108?

Greatest common factor (GCF) of 20091 and 20108 is 1.

GCF(20091,20108) = 1

We will now calculate the prime factors of 20091 and 20108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20091 and 20108.

How to find the GCF of 20091 and 20108?

We will first find the prime factorization of 20091 and 20108. After we will calculate the factors of 20091 and 20108 and find the biggest common factor number .

Step-1: Prime Factorization of 20091

Prime factors of 20091 are 3, 37, 181. Prime factorization of 20091 in exponential form is:

20091 = 3¹ × 37¹ × 181¹

Step-2: Prime Factorization of 20108

Prime factors of 20108 are 2, 11, 457. Prime factorization of 20108 in exponential form is:

20108 = 2² × 11¹ × 457¹

Step-3: Factors of 20091

List of positive integer factors of 20091 that divides 20091 without a remainder.

1, 3, 37, 111, 181, 543, 6697

Step-4: Factors of 20108

List of positive integer factors of 20108 that divides 20091 without a remainder.

1, 2, 4, 11, 22, 44, 457, 914, 1828, 5027, 10054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20091 and 20108. The biggest common factor number is the GCF number.
So the greatest common factor 20091 and 20108 is 1.

Also check out the Least Common Multiple of 20091 and 20108