What is the Greatest Common Factor of 71703 and 71722?

Greatest common factor (GCF) of 71703 and 71722 is 1.

GCF(71703,71722) = 1

We will now calculate the prime factors of 71703 and 71722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71703 and 71722.

How to find the GCF of 71703 and 71722?

We will first find the prime factorization of 71703 and 71722. After we will calculate the factors of 71703 and 71722 and find the biggest common factor number .

Step-1: Prime Factorization of 71703

Prime factors of 71703 are 3, 31, 257. Prime factorization of 71703 in exponential form is:

71703 = 3² × 31¹ × 257¹

Step-2: Prime Factorization of 71722

Prime factors of 71722 are 2, 7, 47, 109. Prime factorization of 71722 in exponential form is:

71722 = 2¹ × 7¹ × 47¹ × 109¹

Step-3: Factors of 71703

List of positive integer factors of 71703 that divides 71703 without a remainder.

1, 3, 9, 31, 93, 257, 279, 771, 2313, 7967, 23901

Step-4: Factors of 71722

List of positive integer factors of 71722 that divides 71703 without a remainder.

1, 2, 7, 14, 47, 94, 109, 218, 329, 658, 763, 1526, 5123, 10246, 35861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71703 and 71722. The biggest common factor number is the GCF number.
So the greatest common factor 71703 and 71722 is 1.

Also check out the Least Common Multiple of 71703 and 71722