What is the Greatest Common Factor of 31578 and 31597?

Greatest common factor (GCF) of 31578 and 31597 is 19.

GCF(31578,31597) = 19

We will now calculate the prime factors of 31578 and 31597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31578 and 31597.

How to find the GCF of 31578 and 31597?

We will first find the prime factorization of 31578 and 31597. After we will calculate the factors of 31578 and 31597 and find the biggest common factor number .

Step-1: Prime Factorization of 31578

Prime factors of 31578 are 2, 3, 19, 277. Prime factorization of 31578 in exponential form is:

31578 = 2¹ × 3¹ × 19¹ × 277¹

Step-2: Prime Factorization of 31597

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

31597 = 19¹ × 1663¹

Step-3: Factors of 31578

List of positive integer factors of 31578 that divides 31578 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 277, 554, 831, 1662, 5263, 10526, 15789

Step-4: Factors of 31597

List of positive integer factors of 31597 that divides 31578 without a remainder.

1, 19, 1663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31578 and 31597. The biggest common factor number is the GCF number.
So the greatest common factor 31578 and 31597 is 19.

Also check out the Least Common Multiple of 31578 and 31597