What is the Greatest Common Factor of 31485 and 31491?

Greatest common factor (GCF) of 31485 and 31491 is 3.

GCF(31485,31491) = 3

We will now calculate the prime factors of 31485 and 31491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31485 and 31491.

How to find the GCF of 31485 and 31491?

We will first find the prime factorization of 31485 and 31491. After we will calculate the factors of 31485 and 31491 and find the biggest common factor number .

Step-1: Prime Factorization of 31485

Prime factors of 31485 are 3, 5, 2099. Prime factorization of 31485 in exponential form is:

31485 = 3¹ × 5¹ × 2099¹

Step-2: Prime Factorization of 31491

Prime factors of 31491 are 3, 3499. Prime factorization of 31491 in exponential form is:

31491 = 3² × 3499¹

Step-3: Factors of 31485

List of positive integer factors of 31485 that divides 31485 without a remainder.

1, 3, 5, 15, 2099, 6297, 10495

Step-4: Factors of 31491

List of positive integer factors of 31491 that divides 31485 without a remainder.

1, 3, 9, 3499, 10497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31485 and 31491. The biggest common factor number is the GCF number.
So the greatest common factor 31485 and 31491 is 3.

Also check out the Least Common Multiple of 31485 and 31491