What is the Greatest Common Factor of 20936 and 20947?

Greatest common factor (GCF) of 20936 and 20947 is 1.

GCF(20936,20947) = 1

We will now calculate the prime factors of 20936 and 20947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20936 and 20947.

How to find the GCF of 20936 and 20947?

We will first find the prime factorization of 20936 and 20947. After we will calculate the factors of 20936 and 20947 and find the biggest common factor number .

Step-1: Prime Factorization of 20936

Prime factors of 20936 are 2, 2617. Prime factorization of 20936 in exponential form is:

20936 = 2³ × 2617¹

Step-2: Prime Factorization of 20947

Prime factors of 20947 are 20947. Prime factorization of 20947 in exponential form is:

20947 = 20947¹

Step-3: Factors of 20936

List of positive integer factors of 20936 that divides 20936 without a remainder.

1, 2, 4, 8, 2617, 5234, 10468

Step-4: Factors of 20947

List of positive integer factors of 20947 that divides 20936 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20936 and 20947. The biggest common factor number is the GCF number.
So the greatest common factor 20936 and 20947 is 1.

Also check out the Least Common Multiple of 20936 and 20947