What is the Greatest Common Factor of 20277 and 20293?

Greatest common factor (GCF) of 20277 and 20293 is 1.

GCF(20277,20293) = 1

We will now calculate the prime factors of 20277 and 20293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20277 and 20293.

How to find the GCF of 20277 and 20293?

We will first find the prime factorization of 20277 and 20293. After we will calculate the factors of 20277 and 20293 and find the biggest common factor number .

Step-1: Prime Factorization of 20277

Prime factors of 20277 are 3, 751. Prime factorization of 20277 in exponential form is:

20277 = 3³ × 751¹

Step-2: Prime Factorization of 20293

Prime factors of 20293 are 7, 13, 223. Prime factorization of 20293 in exponential form is:

20293 = 7¹ × 13¹ × 223¹

Step-3: Factors of 20277

List of positive integer factors of 20277 that divides 20277 without a remainder.

1, 3, 9, 27, 751, 2253, 6759

Step-4: Factors of 20293

List of positive integer factors of 20293 that divides 20277 without a remainder.

1, 7, 13, 91, 223, 1561, 2899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20277 and 20293. The biggest common factor number is the GCF number.
So the greatest common factor 20277 and 20293 is 1.

Also check out the Least Common Multiple of 20277 and 20293