What is the Greatest Common Factor of 1320 and 1335?

Greatest common factor (GCF) of 1320 and 1335 is 15.

GCF(1320,1335) = 15

We will now calculate the prime factors of 1320 and 1335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1320 and 1335.

How to find the GCF of 1320 and 1335?

We will first find the prime factorization of 1320 and 1335. After we will calculate the factors of 1320 and 1335 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 1335

Prime factors of 1335 are 3, 5, 89. Prime factorization of 1335 in exponential form is:

1335 = 3¹ × 5¹ × 89¹

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 1335

List of positive integer factors of 1335 that divides 1320 without a remainder.

1, 3, 5, 15, 89, 267, 445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1320 and 1335. The biggest common factor number is the GCF number.
So the greatest common factor 1320 and 1335 is 15.

Also check out the Least Common Multiple of 1320 and 1335