What is the Greatest Common Factor of 1290 and 1299?

Greatest common factor (GCF) of 1290 and 1299 is 3.

GCF(1290,1299) = 3

We will now calculate the prime factors of 1290 and 1299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1290 and 1299.

How to find the GCF of 1290 and 1299?

We will first find the prime factorization of 1290 and 1299. After we will calculate the factors of 1290 and 1299 and find the biggest common factor number .

Step-1: Prime Factorization of 1290

Prime factors of 1290 are 2, 3, 5, 43. Prime factorization of 1290 in exponential form is:

1290 = 2¹ × 3¹ × 5¹ × 43¹

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 1290

List of positive integer factors of 1290 that divides 1290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645

Step-4: Factors of 1299

List of positive integer factors of 1299 that divides 1290 without a remainder.

1, 3, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1290 and 1299. The biggest common factor number is the GCF number.
So the greatest common factor 1290 and 1299 is 3.

Also check out the Least Common Multiple of 1290 and 1299