What is the Greatest Common Factor of 20560 and 20569?

Greatest common factor (GCF) of 20560 and 20569 is 1.

GCF(20560,20569) = 1

We will now calculate the prime factors of 20560 and 20569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20560 and 20569.

How to find the GCF of 20560 and 20569?

We will first find the prime factorization of 20560 and 20569. After we will calculate the factors of 20560 and 20569 and find the biggest common factor number .

Step-1: Prime Factorization of 20560

Prime factors of 20560 are 2, 5, 257. Prime factorization of 20560 in exponential form is:

20560 = 2⁴ × 5¹ × 257¹

Step-2: Prime Factorization of 20569

Prime factors of 20569 are 67, 307. Prime factorization of 20569 in exponential form is:

20569 = 67¹ × 307¹

Step-3: Factors of 20560

List of positive integer factors of 20560 that divides 20560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 257, 514, 1028, 1285, 2056, 2570, 4112, 5140, 10280

Step-4: Factors of 20569

List of positive integer factors of 20569 that divides 20560 without a remainder.

1, 67, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20560 and 20569. The biggest common factor number is the GCF number.
So the greatest common factor 20560 and 20569 is 1.

Also check out the Least Common Multiple of 20560 and 20569