What is the Greatest Common Factor of 20560 and 20570?

Greatest common factor (GCF) of 20560 and 20570 is 10.

GCF(20560,20570) = 10

We will now calculate the prime factors of 20560 and 20570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20560 and 20570.

How to find the GCF of 20560 and 20570?

We will first find the prime factorization of 20560 and 20570. After we will calculate the factors of 20560 and 20570 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 20570

Prime factors of 20570 are 2, 5, 11, 17. Prime factorization of 20570 in exponential form is:

20570 = 2¹ × 5¹ × 11² × 17¹

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 20570

List of positive integer factors of 20570 that divides 20560 without a remainder.

1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 121, 170, 187, 242, 374, 605, 935, 1210, 1870, 2057, 4114, 10285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20560 and 20570. The biggest common factor number is the GCF number.
So the greatest common factor 20560 and 20570 is 10.

Also check out the Least Common Multiple of 20560 and 20570