What is the Greatest Common Factor of 20854 and 20869?

Greatest common factor (GCF) of 20854 and 20869 is 1.

GCF(20854,20869) = 1

We will now calculate the prime factors of 20854 and 20869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20854 and 20869.

How to find the GCF of 20854 and 20869?

We will first find the prime factorization of 20854 and 20869. After we will calculate the factors of 20854 and 20869 and find the biggest common factor number .

Step-1: Prime Factorization of 20854

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

20854 = 2¹ × 10427¹

Step-2: Prime Factorization of 20869

Prime factors of 20869 are 41, 509. Prime factorization of 20869 in exponential form is:

20869 = 41¹ × 509¹

Step-3: Factors of 20854

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

1, 2, 10427

Step-4: Factors of 20869

List of positive integer factors of 20869 that divides 20854 without a remainder.

1, 41, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20854 and 20869. The biggest common factor number is the GCF number.
So the greatest common factor 20854 and 20869 is 1.

Also check out the Least Common Multiple of 20854 and 20869