What is the Greatest Common Factor of 282 and 293?

Greatest common factor (GCF) of 282 and 293 is 1.

GCF(282,293) = 1

We will now calculate the prime factors of 282 and 293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 282 and 293.

How to find the GCF of 282 and 293?

We will first find the prime factorization of 282 and 293. After we will calculate the factors of 282 and 293 and find the biggest common factor number .

Step-1: Prime Factorization of 282

Prime factors of 282 are 2, 3, 47. Prime factorization of 282 in exponential form is:

282 = 2¹ × 3¹ × 47¹

Step-2: Prime Factorization of 293

Prime factors of 293 are 293. Prime factorization of 293 in exponential form is:

293 = 293¹

Step-3: Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141

Step-4: Factors of 293

List of positive integer factors of 293 that divides 282 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 282 and 293. The biggest common factor number is the GCF number.
So the greatest common factor 282 and 293 is 1.

Also check out the Least Common Multiple of 282 and 293