What is the Greatest Common Factor of 20274 and 20287?

Greatest common factor (GCF) of 20274 and 20287 is 1.

GCF(20274,20287) = 1

We will now calculate the prime factors of 20274 and 20287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20274 and 20287.

How to find the GCF of 20274 and 20287?

We will first find the prime factorization of 20274 and 20287. After we will calculate the factors of 20274 and 20287 and find the biggest common factor number .

Step-1: Prime Factorization of 20274

Prime factors of 20274 are 2, 3, 31, 109. Prime factorization of 20274 in exponential form is:

20274 = 2¹ × 3¹ × 31¹ × 109¹

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 20274

List of positive integer factors of 20274 that divides 20274 without a remainder.

1, 2, 3, 6, 31, 62, 93, 109, 186, 218, 327, 654, 3379, 6758, 10137

Step-4: Factors of 20287

List of positive integer factors of 20287 that divides 20274 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20274 and 20287. The biggest common factor number is the GCF number.
So the greatest common factor 20274 and 20287 is 1.

Also check out the Least Common Multiple of 20274 and 20287