What is the Greatest Common Factor of 20085 and 20094?

Greatest common factor (GCF) of 20085 and 20094 is 3.

GCF(20085,20094) = 3

We will now calculate the prime factors of 20085 and 20094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20085 and 20094.

How to find the GCF of 20085 and 20094?

We will first find the prime factorization of 20085 and 20094. After we will calculate the factors of 20085 and 20094 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 20094

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

20094 = 2¹ × 3¹ × 17¹ × 197¹

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 20094

List of positive integer factors of 20094 that divides 20085 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20085 and 20094. The biggest common factor number is the GCF number.
So the greatest common factor 20085 and 20094 is 3.

Also check out the Least Common Multiple of 20085 and 20094