What is the Greatest Common Factor of 1701 and 1721?

Greatest common factor (GCF) of 1701 and 1721 is 1.

GCF(1701,1721) = 1

We will now calculate the prime factors of 1701 and 1721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1701 and 1721.

How to find the GCF of 1701 and 1721?

We will first find the prime factorization of 1701 and 1721. After we will calculate the factors of 1701 and 1721 and find the biggest common factor number .

Step-1: Prime Factorization of 1701

Prime factors of 1701 are 3, 7. Prime factorization of 1701 in exponential form is:

1701 = 3⁵ × 7¹

Step-2: Prime Factorization of 1721

Prime factors of 1721 are 1721. Prime factorization of 1721 in exponential form is:

1721 = 1721¹

Step-3: Factors of 1701

List of positive integer factors of 1701 that divides 1701 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567

Step-4: Factors of 1721

List of positive integer factors of 1721 that divides 1701 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1701 and 1721. The biggest common factor number is the GCF number.
So the greatest common factor 1701 and 1721 is 1.

Also check out the Least Common Multiple of 1701 and 1721