What is the Greatest Common Factor of 1709 and 1720?

Greatest common factor (GCF) of 1709 and 1720 is 1.

GCF(1709,1720) = 1

We will now calculate the prime factors of 1709 and 1720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1709 and 1720.

How to find the GCF of 1709 and 1720?

We will first find the prime factorization of 1709 and 1720. After we will calculate the factors of 1709 and 1720 and find the biggest common factor number .

Step-1: Prime Factorization of 1709

Prime factors of 1709 are 1709. Prime factorization of 1709 in exponential form is:

1709 = 1709¹

Step-2: Prime Factorization of 1720

Prime factors of 1720 are 2, 5, 43. Prime factorization of 1720 in exponential form is:

1720 = 2³ × 5¹ × 43¹

Step-3: Factors of 1709

List of positive integer factors of 1709 that divides 1709 without a remainder.

Step-4: Factors of 1720

List of positive integer factors of 1720 that divides 1709 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1709 and 1720. The biggest common factor number is the GCF number.
So the greatest common factor 1709 and 1720 is 1.

Also check out the Least Common Multiple of 1709 and 1720