What is the Greatest Common Factor of 20538 and 20553?

Greatest common factor (GCF) of 20538 and 20553 is 3.

GCF(20538,20553) = 3

We will now calculate the prime factors of 20538 and 20553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20538 and 20553.

How to find the GCF of 20538 and 20553?

We will first find the prime factorization of 20538 and 20553. After we will calculate the factors of 20538 and 20553 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 20553

Prime factors of 20553 are 3, 13, 17, 31. Prime factorization of 20553 in exponential form is:

20553 = 3¹ × 13¹ × 17¹ × 31¹

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 20553

List of positive integer factors of 20553 that divides 20538 without a remainder.

1, 3, 13, 17, 31, 39, 51, 93, 221, 403, 527, 663, 1209, 1581, 6851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20538 and 20553. The biggest common factor number is the GCF number.
So the greatest common factor 20538 and 20553 is 3.

Also check out the Least Common Multiple of 20538 and 20553