What is the Greatest Common Factor of 20834 and 20840?

Greatest common factor (GCF) of 20834 and 20840 is 2.

GCF(20834,20840) = 2

We will now calculate the prime factors of 20834 and 20840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20834 and 20840.

How to find the GCF of 20834 and 20840?

We will first find the prime factorization of 20834 and 20840. After we will calculate the factors of 20834 and 20840 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 20840

Prime factors of 20840 are 2, 5, 521. Prime factorization of 20840 in exponential form is:

20840 = 2³ × 5¹ × 521¹

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 20840

List of positive integer factors of 20840 that divides 20834 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 521, 1042, 2084, 2605, 4168, 5210, 10420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20834 and 20840. The biggest common factor number is the GCF number.
So the greatest common factor 20834 and 20840 is 2.

Also check out the Least Common Multiple of 20834 and 20840