What is the Greatest Common Factor of 31230 and 31245?

Greatest common factor (GCF) of 31230 and 31245 is 15.

GCF(31230,31245) = 15

We will now calculate the prime factors of 31230 and 31245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31230 and 31245.

How to find the GCF of 31230 and 31245?

We will first find the prime factorization of 31230 and 31245. After we will calculate the factors of 31230 and 31245 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31245

Prime factors of 31245 are 3, 5, 2083. Prime factorization of 31245 in exponential form is:

31245 = 3¹ × 5¹ × 2083¹

Step-3: Factors of 31230

List of positive integer factors of 31230 that divides 31230 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

Step-4: Factors of 31245

List of positive integer factors of 31245 that divides 31230 without a remainder.

1, 3, 5, 15, 2083, 6249, 10415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31230 and 31245. The biggest common factor number is the GCF number.
So the greatest common factor 31230 and 31245 is 15.

Also check out the Least Common Multiple of 31230 and 31245