What is the Greatest Common Factor of 1284 and 1299?

Greatest common factor (GCF) of 1284 and 1299 is 3.

GCF(1284,1299) = 3

We will now calculate the prime factors of 1284 and 1299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1284 and 1299.

How to find the GCF of 1284 and 1299?

We will first find the prime factorization of 1284 and 1299. After we will calculate the factors of 1284 and 1299 and find the biggest common factor number .

Step-1: Prime Factorization of 1284

Prime factors of 1284 are 2, 3, 107. Prime factorization of 1284 in exponential form is:

1284 = 2² × 3¹ × 107¹

Step-2: Prime Factorization of 1299

Prime factors of 1299 are 3, 433. Prime factorization of 1299 in exponential form is:

1299 = 3¹ × 433¹

Step-3: Factors of 1284

List of positive integer factors of 1284 that divides 1284 without a remainder.

1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642

Step-4: Factors of 1299

List of positive integer factors of 1299 that divides 1284 without a remainder.

1, 3, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1284 and 1299. The biggest common factor number is the GCF number.
So the greatest common factor 1284 and 1299 is 3.

Also check out the Least Common Multiple of 1284 and 1299