What is the Greatest Common Factor of 1230 and 1245?

Greatest common factor (GCF) of 1230 and 1245 is 15.

GCF(1230,1245) = 15

We will now calculate the prime factors of 1230 and 1245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1230 and 1245.

How to find the GCF of 1230 and 1245?

We will first find the prime factorization of 1230 and 1245. After we will calculate the factors of 1230 and 1245 and find the biggest common factor number .

Step-1: Prime Factorization of 1230

Prime factors of 1230 are 2, 3, 5, 41. Prime factorization of 1230 in exponential form is:

1230 = 2¹ × 3¹ × 5¹ × 41¹

Step-2: Prime Factorization of 1245

Prime factors of 1245 are 3, 5, 83. Prime factorization of 1245 in exponential form is:

1245 = 3¹ × 5¹ × 83¹

Step-3: Factors of 1230

List of positive integer factors of 1230 that divides 1230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615

Step-4: Factors of 1245

List of positive integer factors of 1245 that divides 1230 without a remainder.

1, 3, 5, 15, 83, 249, 415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1230 and 1245. The biggest common factor number is the GCF number.
So the greatest common factor 1230 and 1245 is 15.

Also check out the Least Common Multiple of 1230 and 1245