What is the Greatest Common Factor of 31221 and 31230?

Greatest common factor (GCF) of 31221 and 31230 is 9.

GCF(31221,31230) = 9

We will now calculate the prime factors of 31221 and 31230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31221 and 31230.

How to find the GCF of 31221 and 31230?

We will first find the prime factorization of 31221 and 31230. After we will calculate the factors of 31221 and 31230 and find the biggest common factor number .

Step-1: Prime Factorization of 31221

Prime factors of 31221 are 3, 3469. Prime factorization of 31221 in exponential form is:

31221 = 3² × 3469¹

Step-2: Prime Factorization of 31230

Prime factors of 31230 are 2, 3, 5, 347. Prime factorization of 31230 in exponential form is:

31230 = 2¹ × 3² × 5¹ × 347¹

Step-3: Factors of 31221

List of positive integer factors of 31221 that divides 31221 without a remainder.

1, 3, 9, 3469, 10407

Step-4: Factors of 31230

List of positive integer factors of 31230 that divides 31221 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 347, 694, 1041, 1735, 2082, 3123, 3470, 5205, 6246, 10410, 15615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31221 and 31230. The biggest common factor number is the GCF number.
So the greatest common factor 31221 and 31230 is 9.

Also check out the Least Common Multiple of 31221 and 31230