What is the Greatest Common Factor of 20547 and 20559?

Greatest common factor (GCF) of 20547 and 20559 is 3.

GCF(20547,20559) = 3

We will now calculate the prime factors of 20547 and 20559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20547 and 20559.

How to find the GCF of 20547 and 20559?

We will first find the prime factorization of 20547 and 20559. After we will calculate the factors of 20547 and 20559 and find the biggest common factor number .

Step-1: Prime Factorization of 20547

Prime factors of 20547 are 3, 761. Prime factorization of 20547 in exponential form is:

20547 = 3³ × 761¹

Step-2: Prime Factorization of 20559

Prime factors of 20559 are 3, 7, 11, 89. Prime factorization of 20559 in exponential form is:

20559 = 3¹ × 7¹ × 11¹ × 89¹

Step-3: Factors of 20547

List of positive integer factors of 20547 that divides 20547 without a remainder.

1, 3, 9, 27, 761, 2283, 6849

Step-4: Factors of 20559

List of positive integer factors of 20559 that divides 20547 without a remainder.

1, 3, 7, 11, 21, 33, 77, 89, 231, 267, 623, 979, 1869, 2937, 6853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20547 and 20559. The biggest common factor number is the GCF number.
So the greatest common factor 20547 and 20559 is 3.

Also check out the Least Common Multiple of 20547 and 20559