What is the Greatest Common Factor of 31578 and 31582?

Greatest common factor (GCF) of 31578 and 31582 is 2.

GCF(31578,31582) = 2

We will now calculate the prime factors of 31578 and 31582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31578 and 31582.

How to find the GCF of 31578 and 31582?

We will first find the prime factorization of 31578 and 31582. After we will calculate the factors of 31578 and 31582 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 31582

Prime factors of 31582 are 2, 15791. Prime factorization of 31582 in exponential form is:

31582 = 2¹ × 15791¹

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 31582

List of positive integer factors of 31582 that divides 31578 without a remainder.

1, 2, 15791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31578 and 31582. The biggest common factor number is the GCF number.
So the greatest common factor 31578 and 31582 is 2.

Also check out the Least Common Multiple of 31578 and 31582