What is the Greatest Common Factor of 20270 and 20288?

Greatest common factor (GCF) of 20270 and 20288 is 2.

GCF(20270,20288) = 2

We will now calculate the prime factors of 20270 and 20288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20270 and 20288.

How to find the GCF of 20270 and 20288?

We will first find the prime factorization of 20270 and 20288. After we will calculate the factors of 20270 and 20288 and find the biggest common factor number .

Step-1: Prime Factorization of 20270

Prime factors of 20270 are 2, 5, 2027. Prime factorization of 20270 in exponential form is:

20270 = 2¹ × 5¹ × 2027¹

Step-2: Prime Factorization of 20288

Prime factors of 20288 are 2, 317. Prime factorization of 20288 in exponential form is:

20288 = 2⁶ × 317¹

Step-3: Factors of 20270

List of positive integer factors of 20270 that divides 20270 without a remainder.

1, 2, 5, 10, 2027, 4054, 10135

Step-4: Factors of 20288

List of positive integer factors of 20288 that divides 20270 without a remainder.

1, 2, 4, 8, 16, 32, 64, 317, 634, 1268, 2536, 5072, 10144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20270 and 20288. The biggest common factor number is the GCF number.
So the greatest common factor 20270 and 20288 is 2.

Also check out the Least Common Multiple of 20270 and 20288