What is the Greatest Common Factor of 30 and 41?

Greatest common factor (GCF) of 30 and 41 is 1.

GCF(30,41) = 1

We will now calculate the prime factors of 30 and 41, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30 and 41.

How to find the GCF of 30 and 41?

We will first find the prime factorization of 30 and 41. After we will calculate the factors of 30 and 41 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 41

Prime factors of 41 are 41. Prime factorization of 41 in exponential form is:

41 = 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 41

List of positive integer factors of 41 that divides 30 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30 and 41. The biggest common factor number is the GCF number.
So the greatest common factor 30 and 41 is 1.

Also check out the Least Common Multiple of 30 and 41