What is the Greatest Common Factor of 414 and 433?

Greatest common factor (GCF) of 414 and 433 is 1.

GCF(414,433) = 1

We will now calculate the prime factors of 414 and 433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 414 and 433.

How to find the GCF of 414 and 433?

We will first find the prime factorization of 414 and 433. After we will calculate the factors of 414 and 433 and find the biggest common factor number .

Step-1: Prime Factorization of 414

Prime factors of 414 are 2, 3, 23. Prime factorization of 414 in exponential form is:

414 = 2¹ × 3² × 23¹

Step-2: Prime Factorization of 433

Prime factors of 433 are 433. Prime factorization of 433 in exponential form is:

433 = 433¹

Step-3: Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207

Step-4: Factors of 433

List of positive integer factors of 433 that divides 414 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 414 and 433. The biggest common factor number is the GCF number.
So the greatest common factor 414 and 433 is 1.

Also check out the Least Common Multiple of 414 and 433