What is the Greatest Common Factor of 1335 and 1350?

Greatest common factor (GCF) of 1335 and 1350 is 15.

GCF(1335,1350) = 15

We will now calculate the prime factors of 1335 and 1350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1335 and 1350.

How to find the GCF of 1335 and 1350?

We will first find the prime factorization of 1335 and 1350. After we will calculate the factors of 1335 and 1350 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1350

Prime factors of 1350 are 2, 3, 5. Prime factorization of 1350 in exponential form is:

1350 = 2¹ × 3³ × 5²

Step-3: Factors of 1335

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

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

Step-4: Factors of 1350

List of positive integer factors of 1350 that divides 1335 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1335 and 1350. The biggest common factor number is the GCF number.
So the greatest common factor 1335 and 1350 is 15.

Also check out the Least Common Multiple of 1335 and 1350