What is the Greatest Common Factor of 20559 and 20565?

Greatest common factor (GCF) of 20559 and 20565 is 3.

GCF(20559,20565) = 3

We will now calculate the prime factors of 20559 and 20565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20559 and 20565.

How to find the GCF of 20559 and 20565?

We will first find the prime factorization of 20559 and 20565. After we will calculate the factors of 20559 and 20565 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20565

Prime factors of 20565 are 3, 5, 457. Prime factorization of 20565 in exponential form is:

20565 = 3² × 5¹ × 457¹

Step-3: Factors of 20559

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

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

Step-4: Factors of 20565

List of positive integer factors of 20565 that divides 20559 without a remainder.

1, 3, 5, 9, 15, 45, 457, 1371, 2285, 4113, 6855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20559 and 20565. The biggest common factor number is the GCF number.
So the greatest common factor 20559 and 20565 is 3.

Also check out the Least Common Multiple of 20559 and 20565