What is the Greatest Common Factor of 20922 and 20929?

Greatest common factor (GCF) of 20922 and 20929 is 1.

GCF(20922,20929) = 1

We will now calculate the prime factors of 20922 and 20929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20922 and 20929.

How to find the GCF of 20922 and 20929?

We will first find the prime factorization of 20922 and 20929. After we will calculate the factors of 20922 and 20929 and find the biggest common factor number .

Step-1: Prime Factorization of 20922

Prime factors of 20922 are 2, 3, 11, 317. Prime factorization of 20922 in exponential form is:

20922 = 2¹ × 3¹ × 11¹ × 317¹

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 20922

List of positive integer factors of 20922 that divides 20922 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 317, 634, 951, 1902, 3487, 6974, 10461

Step-4: Factors of 20929

List of positive integer factors of 20929 that divides 20922 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20922 and 20929. The biggest common factor number is the GCF number.
So the greatest common factor 20922 and 20929 is 1.

Also check out the Least Common Multiple of 20922 and 20929