What is the Greatest Common Factor of 1413 and 1431?

Greatest common factor (GCF) of 1413 and 1431 is 9.

GCF(1413,1431) = 9

We will now calculate the prime factors of 1413 and 1431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1413 and 1431.

How to find the GCF of 1413 and 1431?

We will first find the prime factorization of 1413 and 1431. After we will calculate the factors of 1413 and 1431 and find the biggest common factor number .

Step-1: Prime Factorization of 1413

Prime factors of 1413 are 3, 157. Prime factorization of 1413 in exponential form is:

1413 = 3² × 157¹

Step-2: Prime Factorization of 1431

Prime factors of 1431 are 3, 53. Prime factorization of 1431 in exponential form is:

1431 = 3³ × 53¹

Step-3: Factors of 1413

List of positive integer factors of 1413 that divides 1413 without a remainder.

1, 3, 9, 157, 471

Step-4: Factors of 1431

List of positive integer factors of 1431 that divides 1413 without a remainder.

1, 3, 9, 27, 53, 159, 477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1413 and 1431. The biggest common factor number is the GCF number.
So the greatest common factor 1413 and 1431 is 9.

Also check out the Least Common Multiple of 1413 and 1431