What is the Greatest Common Factor of 1230 and 1238?

Greatest common factor (GCF) of 1230 and 1238 is 2.

GCF(1230,1238) = 2

We will now calculate the prime factors of 1230 and 1238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1230 and 1238.

How to find the GCF of 1230 and 1238?

We will first find the prime factorization of 1230 and 1238. After we will calculate the factors of 1230 and 1238 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 1238

Prime factors of 1238 are 2, 619. Prime factorization of 1238 in exponential form is:

1238 = 2¹ × 619¹

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 1238

List of positive integer factors of 1238 that divides 1230 without a remainder.

1, 2, 619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1230 and 1238. The biggest common factor number is the GCF number.
So the greatest common factor 1230 and 1238 is 2.

Also check out the Least Common Multiple of 1230 and 1238