What is the Greatest Common Factor of 1703 and 1723?

Greatest common factor (GCF) of 1703 and 1723 is 1.

GCF(1703,1723) = 1

We will now calculate the prime factors of 1703 and 1723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1703 and 1723.

How to find the GCF of 1703 and 1723?

We will first find the prime factorization of 1703 and 1723. After we will calculate the factors of 1703 and 1723 and find the biggest common factor number .

Step-1: Prime Factorization of 1703

Prime factors of 1703 are 13, 131. Prime factorization of 1703 in exponential form is:

1703 = 13¹ × 131¹

Step-2: Prime Factorization of 1723

Prime factors of 1723 are 1723. Prime factorization of 1723 in exponential form is:

1723 = 1723¹

Step-3: Factors of 1703

List of positive integer factors of 1703 that divides 1703 without a remainder.

1, 13, 131

Step-4: Factors of 1723

List of positive integer factors of 1723 that divides 1703 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1703 and 1723. The biggest common factor number is the GCF number.
So the greatest common factor 1703 and 1723 is 1.

Also check out the Least Common Multiple of 1703 and 1723