What is the Greatest Common Factor of 20538 and 20556?

Greatest common factor (GCF) of 20538 and 20556 is 18.

GCF(20538,20556) = 18

We will now calculate the prime factors of 20538 and 20556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20538 and 20556.

How to find the GCF of 20538 and 20556?

We will first find the prime factorization of 20538 and 20556. After we will calculate the factors of 20538 and 20556 and find the biggest common factor number .

Step-1: Prime Factorization of 20538

Prime factors of 20538 are 2, 3, 7, 163. Prime factorization of 20538 in exponential form is:

20538 = 2¹ × 3² × 7¹ × 163¹

Step-2: Prime Factorization of 20556

Prime factors of 20556 are 2, 3, 571. Prime factorization of 20556 in exponential form is:

20556 = 2² × 3² × 571¹

Step-3: Factors of 20538

List of positive integer factors of 20538 that divides 20538 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 163, 326, 489, 978, 1141, 1467, 2282, 2934, 3423, 6846, 10269

Step-4: Factors of 20556

List of positive integer factors of 20556 that divides 20538 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 571, 1142, 1713, 2284, 3426, 5139, 6852, 10278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20538 and 20556. The biggest common factor number is the GCF number.
So the greatest common factor 20538 and 20556 is 18.

Also check out the Least Common Multiple of 20538 and 20556