What is the Greatest Common Factor of 20094 and 20111?

Greatest common factor (GCF) of 20094 and 20111 is 17.

GCF(20094,20111) = 17

We will now calculate the prime factors of 20094 and 20111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20094 and 20111.

How to find the GCF of 20094 and 20111?

We will first find the prime factorization of 20094 and 20111. After we will calculate the factors of 20094 and 20111 and find the biggest common factor number .

Step-1: Prime Factorization of 20094

Prime factors of 20094 are 2, 3, 17, 197. Prime factorization of 20094 in exponential form is:

20094 = 2¹ × 3¹ × 17¹ × 197¹

Step-2: Prime Factorization of 20111

Prime factors of 20111 are 7, 13, 17. Prime factorization of 20111 in exponential form is:

20111 = 7¹ × 13² × 17¹

Step-3: Factors of 20094

List of positive integer factors of 20094 that divides 20094 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 197, 394, 591, 1182, 3349, 6698, 10047

Step-4: Factors of 20111

List of positive integer factors of 20111 that divides 20094 without a remainder.

1, 7, 13, 17, 91, 119, 169, 221, 1183, 1547, 2873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20094 and 20111. The biggest common factor number is the GCF number.
So the greatest common factor 20094 and 20111 is 17.

Also check out the Least Common Multiple of 20094 and 20111