What is the Greatest Common Factor of 413 and 423?

Greatest common factor (GCF) of 413 and 423 is 1.

GCF(413,423) = 1

We will now calculate the prime factors of 413 and 423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 413 and 423.

How to find the GCF of 413 and 423?

We will first find the prime factorization of 413 and 423. After we will calculate the factors of 413 and 423 and find the biggest common factor number .

Step-1: Prime Factorization of 413

Prime factors of 413 are 7, 59. Prime factorization of 413 in exponential form is:

413 = 7¹ × 59¹

Step-2: Prime Factorization of 423

Prime factors of 423 are 3, 47. Prime factorization of 423 in exponential form is:

423 = 3² × 47¹

Step-3: Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1, 7, 59

Step-4: Factors of 423

List of positive integer factors of 423 that divides 413 without a remainder.

1, 3, 9, 47, 141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 413 and 423. The biggest common factor number is the GCF number.
So the greatest common factor 413 and 423 is 1.

Also check out the Least Common Multiple of 413 and 423