What is the Greatest Common Factor of 1335 and 1347?

Greatest common factor (GCF) of 1335 and 1347 is 3.

GCF(1335,1347) = 3

We will now calculate the prime factors of 1335 and 1347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1335 and 1347.

How to find the GCF of 1335 and 1347?

We will first find the prime factorization of 1335 and 1347. After we will calculate the factors of 1335 and 1347 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 1347

Prime factors of 1347 are 3, 449. Prime factorization of 1347 in exponential form is:

1347 = 3¹ × 449¹

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 1347

List of positive integer factors of 1347 that divides 1335 without a remainder.

1, 3, 449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1335 and 1347. The biggest common factor number is the GCF number.
So the greatest common factor 1335 and 1347 is 3.

Also check out the Least Common Multiple of 1335 and 1347