What is the Greatest Common Factor of 20272 and 20287?

Greatest common factor (GCF) of 20272 and 20287 is 1.

GCF(20272,20287) = 1

We will now calculate the prime factors of 20272 and 20287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20272 and 20287.

How to find the GCF of 20272 and 20287?

We will first find the prime factorization of 20272 and 20287. After we will calculate the factors of 20272 and 20287 and find the biggest common factor number .

Step-1: Prime Factorization of 20272

Prime factors of 20272 are 2, 7, 181. Prime factorization of 20272 in exponential form is:

20272 = 2⁴ × 7¹ × 181¹

Step-2: Prime Factorization of 20287

Prime factors of 20287 are 20287. Prime factorization of 20287 in exponential form is:

20287 = 20287¹

Step-3: Factors of 20272

List of positive integer factors of 20272 that divides 20272 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 181, 362, 724, 1267, 1448, 2534, 2896, 5068, 10136

Step-4: Factors of 20287

List of positive integer factors of 20287 that divides 20272 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20272 and 20287. The biggest common factor number is the GCF number.
So the greatest common factor 20272 and 20287 is 1.

Also check out the Least Common Multiple of 20272 and 20287