What is the Greatest Common Factor of 1666 and 1675?

Greatest common factor (GCF) of 1666 and 1675 is 1.

GCF(1666,1675) = 1

We will now calculate the prime factors of 1666 and 1675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1666 and 1675.

How to find the GCF of 1666 and 1675?

We will first find the prime factorization of 1666 and 1675. After we will calculate the factors of 1666 and 1675 and find the biggest common factor number .

Step-1: Prime Factorization of 1666

Prime factors of 1666 are 2, 7, 17. Prime factorization of 1666 in exponential form is:

1666 = 2¹ × 7² × 17¹

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 1666

List of positive integer factors of 1666 that divides 1666 without a remainder.

1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 833

Step-4: Factors of 1675

List of positive integer factors of 1675 that divides 1666 without a remainder.

1, 5, 25, 67, 335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1666 and 1675. The biggest common factor number is the GCF number.
So the greatest common factor 1666 and 1675 is 1.

Also check out the Least Common Multiple of 1666 and 1675