What is the Greatest Common Factor of 20270 and 20289?

Greatest common factor (GCF) of 20270 and 20289 is 1.

GCF(20270,20289) = 1

We will now calculate the prime factors of 20270 and 20289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20270 and 20289.

How to find the GCF of 20270 and 20289?

We will first find the prime factorization of 20270 and 20289. After we will calculate the factors of 20270 and 20289 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 20289

Prime factors of 20289 are 3, 6763. Prime factorization of 20289 in exponential form is:

20289 = 3¹ × 6763¹

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 20289

List of positive integer factors of 20289 that divides 20270 without a remainder.

1, 3, 6763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20270 and 20289. The biggest common factor number is the GCF number.
So the greatest common factor 20270 and 20289 is 1.

Also check out the Least Common Multiple of 20270 and 20289