What is the Greatest Common Factor of 20085 and 20091?

Greatest common factor (GCF) of 20085 and 20091 is 3.

GCF(20085,20091) = 3

We will now calculate the prime factors of 20085 and 20091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20085 and 20091.

How to find the GCF of 20085 and 20091?

We will first find the prime factorization of 20085 and 20091. After we will calculate the factors of 20085 and 20091 and find the biggest common factor number .

Step-1: Prime Factorization of 20085

Prime factors of 20085 are 3, 5, 13, 103. Prime factorization of 20085 in exponential form is:

20085 = 3¹ × 5¹ × 13¹ × 103¹

Step-2: 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-3: Factors of 20085

List of positive integer factors of 20085 that divides 20085 without a remainder.

1, 3, 5, 13, 15, 39, 65, 103, 195, 309, 515, 1339, 1545, 4017, 6695

Step-4: Factors of 20091

List of positive integer factors of 20091 that divides 20085 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20085 and 20091. The biggest common factor number is the GCF number.
So the greatest common factor 20085 and 20091 is 3.

Also check out the Least Common Multiple of 20085 and 20091