What is the Greatest Common Factor of 20912 and 20929?

Greatest common factor (GCF) of 20912 and 20929 is 1.

GCF(20912,20929) = 1

We will now calculate the prime factors of 20912 and 20929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20912 and 20929.

How to find the GCF of 20912 and 20929?

We will first find the prime factorization of 20912 and 20929. After we will calculate the factors of 20912 and 20929 and find the biggest common factor number .

Step-1: Prime Factorization of 20912

Prime factors of 20912 are 2, 1307. Prime factorization of 20912 in exponential form is:

20912 = 2⁴ × 1307¹

Step-2: Prime Factorization of 20929

Prime factors of 20929 are 20929. Prime factorization of 20929 in exponential form is:

20929 = 20929¹

Step-3: Factors of 20912

List of positive integer factors of 20912 that divides 20912 without a remainder.

1, 2, 4, 8, 16, 1307, 2614, 5228, 10456

Step-4: Factors of 20929

List of positive integer factors of 20929 that divides 20912 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20912 and 20929. The biggest common factor number is the GCF number.
So the greatest common factor 20912 and 20929 is 1.

Also check out the Least Common Multiple of 20912 and 20929