What is the Greatest Common Factor of 20834 and 20854?

Greatest common factor (GCF) of 20834 and 20854 is 2.

GCF(20834,20854) = 2

We will now calculate the prime factors of 20834 and 20854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20834 and 20854.

How to find the GCF of 20834 and 20854?

We will first find the prime factorization of 20834 and 20854. After we will calculate the factors of 20834 and 20854 and find the biggest common factor number .

Step-1: Prime Factorization of 20834

Prime factors of 20834 are 2, 11, 947. Prime factorization of 20834 in exponential form is:

20834 = 2¹ × 11¹ × 947¹

Step-2: Prime Factorization of 20854

Prime factors of 20854 are 2, 10427. Prime factorization of 20854 in exponential form is:

20854 = 2¹ × 10427¹

Step-3: Factors of 20834

List of positive integer factors of 20834 that divides 20834 without a remainder.

1, 2, 11, 22, 947, 1894, 10417

Step-4: Factors of 20854

List of positive integer factors of 20854 that divides 20834 without a remainder.

1, 2, 10427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20834 and 20854. The biggest common factor number is the GCF number.
So the greatest common factor 20834 and 20854 is 2.

Also check out the Least Common Multiple of 20834 and 20854