What is the Greatest Common Factor of 1700 and 1718?

Greatest common factor (GCF) of 1700 and 1718 is 2.

GCF(1700,1718) = 2

We will now calculate the prime factors of 1700 and 1718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1700 and 1718.

How to find the GCF of 1700 and 1718?

We will first find the prime factorization of 1700 and 1718. After we will calculate the factors of 1700 and 1718 and find the biggest common factor number .

Step-1: Prime Factorization of 1700

Prime factors of 1700 are 2, 5, 17. Prime factorization of 1700 in exponential form is:

1700 = 2² × 5² × 17¹

Step-2: Prime Factorization of 1718

Prime factors of 1718 are 2, 859. Prime factorization of 1718 in exponential form is:

1718 = 2¹ × 859¹

Step-3: Factors of 1700

List of positive integer factors of 1700 that divides 1700 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850

Step-4: Factors of 1718

List of positive integer factors of 1718 that divides 1700 without a remainder.

1, 2, 859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1700 and 1718. The biggest common factor number is the GCF number.
So the greatest common factor 1700 and 1718 is 2.

Also check out the Least Common Multiple of 1700 and 1718