What is the Greatest Common Factor of 20545 and 20560?

Greatest common factor (GCF) of 20545 and 20560 is 5.

GCF(20545,20560) = 5

We will now calculate the prime factors of 20545 and 20560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20545 and 20560.

How to find the GCF of 20545 and 20560?

We will first find the prime factorization of 20545 and 20560. After we will calculate the factors of 20545 and 20560 and find the biggest common factor number .

Step-1: Prime Factorization of 20545

Prime factors of 20545 are 5, 7, 587. Prime factorization of 20545 in exponential form is:

20545 = 5¹ × 7¹ × 587¹

Step-2: 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-3: Factors of 20545

List of positive integer factors of 20545 that divides 20545 without a remainder.

1, 5, 7, 35, 587, 2935, 4109

Step-4: Factors of 20560

List of positive integer factors of 20560 that divides 20545 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20545 and 20560. The biggest common factor number is the GCF number.
So the greatest common factor 20545 and 20560 is 5.

Also check out the Least Common Multiple of 20545 and 20560