What is the Greatest Common Factor of 30 and 246?

Greatest common factor (GCF) of 30 and 246 is 6.

GCF(30,246) = 6

We will now calculate the prime factors of 30 and 246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30 and 246.

How to find the GCF of 30 and 246?

We will first find the prime factorization of 30 and 246. After we will calculate the factors of 30 and 246 and find the biggest common factor number .

Step-1: Prime Factorization of 30

Prime factors of 30 are 2, 3, 5. Prime factorization of 30 in exponential form is:

30 = 2¹ × 3¹ × 5¹

Step-2: Prime Factorization of 246

Prime factors of 246 are 2, 3, 41. Prime factorization of 246 in exponential form is:

246 = 2¹ × 3¹ × 41¹

Step-3: Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15

Step-4: Factors of 246

List of positive integer factors of 246 that divides 30 without a remainder.

1, 2, 3, 6, 41, 82, 123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30 and 246. The biggest common factor number is the GCF number.
So the greatest common factor 30 and 246 is 6.

Also check out the Least Common Multiple of 30 and 246