What is the Greatest Common Factor of 20554 and 20564?

Greatest common factor (GCF) of 20554 and 20564 is 2.

GCF(20554,20564) = 2

We will now calculate the prime factors of 20554 and 20564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20554 and 20564.

How to find the GCF of 20554 and 20564?

We will first find the prime factorization of 20554 and 20564. After we will calculate the factors of 20554 and 20564 and find the biggest common factor number .

Step-1: Prime Factorization of 20554

Prime factors of 20554 are 2, 43, 239. Prime factorization of 20554 in exponential form is:

20554 = 2¹ × 43¹ × 239¹

Step-2: Prime Factorization of 20564

Prime factors of 20564 are 2, 53, 97. Prime factorization of 20564 in exponential form is:

20564 = 2² × 53¹ × 97¹

Step-3: Factors of 20554

List of positive integer factors of 20554 that divides 20554 without a remainder.

1, 2, 43, 86, 239, 478, 10277

Step-4: Factors of 20564

List of positive integer factors of 20564 that divides 20554 without a remainder.

1, 2, 4, 53, 97, 106, 194, 212, 388, 5141, 10282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20554 and 20564. The biggest common factor number is the GCF number.
So the greatest common factor 20554 and 20564 is 2.

Also check out the Least Common Multiple of 20554 and 20564