What is the Greatest Common Factor of 31597 and 31609?

Greatest common factor (GCF) of 31597 and 31609 is 1.

GCF(31597,31609) = 1

We will now calculate the prime factors of 31597 and 31609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31597 and 31609.

How to find the GCF of 31597 and 31609?

We will first find the prime factorization of 31597 and 31609. After we will calculate the factors of 31597 and 31609 and find the biggest common factor number .

Step-1: Prime Factorization of 31597

Prime factors of 31597 are 19, 1663. Prime factorization of 31597 in exponential form is:

31597 = 19¹ × 1663¹

Step-2: Prime Factorization of 31609

Prime factors of 31609 are 73, 433. Prime factorization of 31609 in exponential form is:

31609 = 73¹ × 433¹

Step-3: Factors of 31597

List of positive integer factors of 31597 that divides 31597 without a remainder.

1, 19, 1663

Step-4: Factors of 31609

List of positive integer factors of 31609 that divides 31597 without a remainder.

1, 73, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31597 and 31609. The biggest common factor number is the GCF number.
So the greatest common factor 31597 and 31609 is 1.

Also check out the Least Common Multiple of 31597 and 31609