What is the Greatest Common Factor of 1283 and 1287?

Greatest common factor (GCF) of 1283 and 1287 is 1.

GCF(1283,1287) = 1

We will now calculate the prime factors of 1283 and 1287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1283 and 1287.

How to find the GCF of 1283 and 1287?

We will first find the prime factorization of 1283 and 1287. After we will calculate the factors of 1283 and 1287 and find the biggest common factor number .

Step-1: Prime Factorization of 1283

Prime factors of 1283 are 1283. Prime factorization of 1283 in exponential form is:

1283 = 1283¹

Step-2: Prime Factorization of 1287

Prime factors of 1287 are 3, 11, 13. Prime factorization of 1287 in exponential form is:

1287 = 3² × 11¹ × 13¹

Step-3: Factors of 1283

List of positive integer factors of 1283 that divides 1283 without a remainder.

Step-4: Factors of 1287

List of positive integer factors of 1287 that divides 1283 without a remainder.

1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1283 and 1287. The biggest common factor number is the GCF number.
So the greatest common factor 1283 and 1287 is 1.

Also check out the Least Common Multiple of 1283 and 1287