What is the Greatest Common Factor of 20684 and 20694?

Greatest common factor (GCF) of 20684 and 20694 is 2.

GCF(20684,20694) = 2

We will now calculate the prime factors of 20684 and 20694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20684 and 20694.

How to find the GCF of 20684 and 20694?

We will first find the prime factorization of 20684 and 20694. After we will calculate the factors of 20684 and 20694 and find the biggest common factor number .

Step-1: Prime Factorization of 20684

Prime factors of 20684 are 2, 5171. Prime factorization of 20684 in exponential form is:

20684 = 2² × 5171¹

Step-2: Prime Factorization of 20694

Prime factors of 20694 are 2, 3, 3449. Prime factorization of 20694 in exponential form is:

20694 = 2¹ × 3¹ × 3449¹

Step-3: Factors of 20684

List of positive integer factors of 20684 that divides 20684 without a remainder.

1, 2, 4, 5171, 10342

Step-4: Factors of 20694

List of positive integer factors of 20694 that divides 20684 without a remainder.

1, 2, 3, 6, 3449, 6898, 10347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20684 and 20694. The biggest common factor number is the GCF number.
So the greatest common factor 20684 and 20694 is 2.

Also check out the Least Common Multiple of 20684 and 20694