What is the Greatest Common Factor of 31705 and 31717?

Greatest common factor (GCF) of 31705 and 31717 is 1.

GCF(31705,31717) = 1

We will now calculate the prime factors of 31705 and 31717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31705 and 31717.

How to find the GCF of 31705 and 31717?

We will first find the prime factorization of 31705 and 31717. After we will calculate the factors of 31705 and 31717 and find the biggest common factor number .

Step-1: Prime Factorization of 31705

Prime factors of 31705 are 5, 17, 373. Prime factorization of 31705 in exponential form is:

31705 = 5¹ × 17¹ × 373¹

Step-2: Prime Factorization of 31717

Prime factors of 31717 are 7, 23, 197. Prime factorization of 31717 in exponential form is:

31717 = 7¹ × 23¹ × 197¹

Step-3: Factors of 31705

List of positive integer factors of 31705 that divides 31705 without a remainder.

1, 5, 17, 85, 373, 1865, 6341

Step-4: Factors of 31717

List of positive integer factors of 31717 that divides 31705 without a remainder.

1, 7, 23, 161, 197, 1379, 4531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31705 and 31717. The biggest common factor number is the GCF number.
So the greatest common factor 31705 and 31717 is 1.

Also check out the Least Common Multiple of 31705 and 31717