What is the Greatest Common Factor of 20565 and 20584?

Greatest common factor (GCF) of 20565 and 20584 is 1.

GCF(20565,20584) = 1

We will now calculate the prime factors of 20565 and 20584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20565 and 20584.

How to find the GCF of 20565 and 20584?

We will first find the prime factorization of 20565 and 20584. After we will calculate the factors of 20565 and 20584 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20584

Prime factors of 20584 are 2, 31, 83. Prime factorization of 20584 in exponential form is:

20584 = 2³ × 31¹ × 83¹

Step-3: Factors of 20565

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

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

Step-4: Factors of 20584

List of positive integer factors of 20584 that divides 20565 without a remainder.

1, 2, 4, 8, 31, 62, 83, 124, 166, 248, 332, 664, 2573, 5146, 10292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20565 and 20584. The biggest common factor number is the GCF number.
So the greatest common factor 20565 and 20584 is 1.

Also check out the Least Common Multiple of 20565 and 20584