What is the Greatest Common Factor of 20538 and 20545?

Greatest common factor (GCF) of 20538 and 20545 is 7.

GCF(20538,20545) = 7

We will now calculate the prime factors of 20538 and 20545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20538 and 20545.

How to find the GCF of 20538 and 20545?

We will first find the prime factorization of 20538 and 20545. After we will calculate the factors of 20538 and 20545 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 20545

Prime factors of 20545 are 5, 7, 587. Prime factorization of 20545 in exponential form is:

20545 = 5¹ × 7¹ × 587¹

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 20545

List of positive integer factors of 20545 that divides 20538 without a remainder.

1, 5, 7, 35, 587, 2935, 4109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20538 and 20545. The biggest common factor number is the GCF number.
So the greatest common factor 20538 and 20545 is 7.

Also check out the Least Common Multiple of 20538 and 20545