What is the Greatest Common Factor of 1320 and 1331?

Greatest common factor (GCF) of 1320 and 1331 is 11.

GCF(1320,1331) = 11

We will now calculate the prime factors of 1320 and 1331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1320 and 1331.

How to find the GCF of 1320 and 1331?

We will first find the prime factorization of 1320 and 1331. After we will calculate the factors of 1320 and 1331 and find the biggest common factor number .

Step-1: Prime Factorization of 1320

Prime factors of 1320 are 2, 3, 5, 11. Prime factorization of 1320 in exponential form is:

1320 = 2³ × 3¹ × 5¹ × 11¹

Step-2: Prime Factorization of 1331

Prime factors of 1331 are 11. Prime factorization of 1331 in exponential form is:

1331 = 11³

Step-3: Factors of 1320

List of positive integer factors of 1320 that divides 1320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660

Step-4: Factors of 1331

List of positive integer factors of 1331 that divides 1320 without a remainder.

1, 11, 121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1320 and 1331. The biggest common factor number is the GCF number.
So the greatest common factor 1320 and 1331 is 11.

Also check out the Least Common Multiple of 1320 and 1331