What is the Greatest Common Factor of 1665 and 1675?

Greatest common factor (GCF) of 1665 and 1675 is 5.

GCF(1665,1675) = 5

We will now calculate the prime factors of 1665 and 1675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1665 and 1675.

How to find the GCF of 1665 and 1675?

We will first find the prime factorization of 1665 and 1675. After we will calculate the factors of 1665 and 1675 and find the biggest common factor number .

Step-1: Prime Factorization of 1665

Prime factors of 1665 are 3, 5, 37. Prime factorization of 1665 in exponential form is:

1665 = 3² × 5¹ × 37¹

Step-2: Prime Factorization of 1675

Prime factors of 1675 are 5, 67. Prime factorization of 1675 in exponential form is:

1675 = 5² × 67¹

Step-3: Factors of 1665

List of positive integer factors of 1665 that divides 1665 without a remainder.

1, 3, 5, 9, 15, 37, 45, 111, 185, 333, 555

Step-4: Factors of 1675

List of positive integer factors of 1675 that divides 1665 without a remainder.

1, 5, 25, 67, 335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1665 and 1675. The biggest common factor number is the GCF number.
So the greatest common factor 1665 and 1675 is 5.

Also check out the Least Common Multiple of 1665 and 1675