What is the Greatest Common Factor of 31597 and 31610?

Greatest common factor (GCF) of 31597 and 31610 is 1.

GCF(31597,31610) = 1

We will now calculate the prime factors of 31597 and 31610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31597 and 31610.

How to find the GCF of 31597 and 31610?

We will first find the prime factorization of 31597 and 31610. After we will calculate the factors of 31597 and 31610 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 31610

Prime factors of 31610 are 2, 5, 29, 109. Prime factorization of 31610 in exponential form is:

31610 = 2¹ × 5¹ × 29¹ × 109¹

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 31610

List of positive integer factors of 31610 that divides 31597 without a remainder.

1, 2, 5, 10, 29, 58, 109, 145, 218, 290, 545, 1090, 3161, 6322, 15805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31597 and 31610. The biggest common factor number is the GCF number.
So the greatest common factor 31597 and 31610 is 1.

Also check out the Least Common Multiple of 31597 and 31610