What is the Greatest Common Factor of 31703 and 31720?

Greatest common factor (GCF) of 31703 and 31720 is 1.

GCF(31703,31720) = 1

We will now calculate the prime factors of 31703 and 31720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31703 and 31720.

How to find the GCF of 31703 and 31720?

We will first find the prime factorization of 31703 and 31720. After we will calculate the factors of 31703 and 31720 and find the biggest common factor number .

Step-1: Prime Factorization of 31703

Prime factors of 31703 are 7, 647. Prime factorization of 31703 in exponential form is:

31703 = 7² × 647¹

Step-2: Prime Factorization of 31720

Prime factors of 31720 are 2, 5, 13, 61. Prime factorization of 31720 in exponential form is:

31720 = 2³ × 5¹ × 13¹ × 61¹

Step-3: Factors of 31703

List of positive integer factors of 31703 that divides 31703 without a remainder.

1, 7, 49, 647, 4529

Step-4: Factors of 31720

List of positive integer factors of 31720 that divides 31703 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 61, 65, 104, 122, 130, 244, 260, 305, 488, 520, 610, 793, 1220, 1586, 2440, 3172, 3965, 6344, 7930, 15860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31703 and 31720. The biggest common factor number is the GCF number.
So the greatest common factor 31703 and 31720 is 1.

Also check out the Least Common Multiple of 31703 and 31720