What is the Greatest Common Factor of 1680 and 1697?

Greatest common factor (GCF) of 1680 and 1697 is 1.

GCF(1680,1697) = 1

We will now calculate the prime factors of 1680 and 1697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1680 and 1697.

How to find the GCF of 1680 and 1697?

We will first find the prime factorization of 1680 and 1697. After we will calculate the factors of 1680 and 1697 and find the biggest common factor number .

Step-1: Prime Factorization of 1680

Prime factors of 1680 are 2, 3, 5, 7. Prime factorization of 1680 in exponential form is:

1680 = 2⁴ × 3¹ × 5¹ × 7¹

Step-2: Prime Factorization of 1697

Prime factors of 1697 are 1697. Prime factorization of 1697 in exponential form is:

1697 = 1697¹

Step-3: Factors of 1680

List of positive integer factors of 1680 that divides 1680 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840

Step-4: Factors of 1697

List of positive integer factors of 1697 that divides 1680 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1680 and 1697. The biggest common factor number is the GCF number.
So the greatest common factor 1680 and 1697 is 1.

Also check out the Least Common Multiple of 1680 and 1697