What is the Greatest Common Factor of 1669 and 1680?

Greatest common factor (GCF) of 1669 and 1680 is 1.

GCF(1669,1680) = 1

We will now calculate the prime factors of 1669 and 1680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1669 and 1680.

How to find the GCF of 1669 and 1680?

We will first find the prime factorization of 1669 and 1680. After we will calculate the factors of 1669 and 1680 and find the biggest common factor number .

Step-1: Prime Factorization of 1669

Prime factors of 1669 are 1669. Prime factorization of 1669 in exponential form is:

1669 = 1669¹

Step-2: 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-3: Factors of 1669

List of positive integer factors of 1669 that divides 1669 without a remainder.

Step-4: Factors of 1680

List of positive integer factors of 1680 that divides 1669 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1669 and 1680. The biggest common factor number is the GCF number.
So the greatest common factor 1669 and 1680 is 1.

Also check out the Least Common Multiple of 1669 and 1680