What is the Greatest Common Factor of 31575 and 31581?

Greatest common factor (GCF) of 31575 and 31581 is 3.

GCF(31575,31581) = 3

We will now calculate the prime factors of 31575 and 31581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31575 and 31581.

How to find the GCF of 31575 and 31581?

We will first find the prime factorization of 31575 and 31581. After we will calculate the factors of 31575 and 31581 and find the biggest common factor number .

Step-1: Prime Factorization of 31575

Prime factors of 31575 are 3, 5, 421. Prime factorization of 31575 in exponential form is:

31575 = 3¹ × 5² × 421¹

Step-2: Prime Factorization of 31581

Prime factors of 31581 are 3, 11, 29. Prime factorization of 31581 in exponential form is:

31581 = 3² × 11² × 29¹

Step-3: Factors of 31575

List of positive integer factors of 31575 that divides 31575 without a remainder.

1, 3, 5, 15, 25, 75, 421, 1263, 2105, 6315, 10525

Step-4: Factors of 31581

List of positive integer factors of 31581 that divides 31575 without a remainder.

1, 3, 9, 11, 29, 33, 87, 99, 121, 261, 319, 363, 957, 1089, 2871, 3509, 10527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31575 and 31581. The biggest common factor number is the GCF number.
So the greatest common factor 31575 and 31581 is 3.

Also check out the Least Common Multiple of 31575 and 31581