What is the Greatest Common Factor of 20898 and 20914?

Greatest common factor (GCF) of 20898 and 20914 is 2.

GCF(20898,20914) = 2

We will now calculate the prime factors of 20898 and 20914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20898 and 20914.

How to find the GCF of 20898 and 20914?

We will first find the prime factorization of 20898 and 20914. After we will calculate the factors of 20898 and 20914 and find the biggest common factor number .

Step-1: Prime Factorization of 20898

Prime factors of 20898 are 2, 3, 43. Prime factorization of 20898 in exponential form is:

20898 = 2¹ × 3⁵ × 43¹

Step-2: Prime Factorization of 20914

Prime factors of 20914 are 2, 10457. Prime factorization of 20914 in exponential form is:

20914 = 2¹ × 10457¹

Step-3: Factors of 20898

List of positive integer factors of 20898 that divides 20898 without a remainder.

1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 243, 258, 387, 486, 774, 1161, 2322, 3483, 6966, 10449

Step-4: Factors of 20914

List of positive integer factors of 20914 that divides 20898 without a remainder.

1, 2, 10457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20898 and 20914. The biggest common factor number is the GCF number.
So the greatest common factor 20898 and 20914 is 2.

Also check out the Least Common Multiple of 20898 and 20914