What is the Greatest Common Factor of 10407 and 10413?

Greatest common factor (GCF) of 10407 and 10413 is 3.

GCF(10407,10413) = 3

We will now calculate the prime factors of 10407 and 10413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10407 and 10413.

How to find the GCF of 10407 and 10413?

We will first find the prime factorization of 10407 and 10413. After we will calculate the factors of 10407 and 10413 and find the biggest common factor number .

Step-1: Prime Factorization of 10407

Prime factors of 10407 are 3, 3469. Prime factorization of 10407 in exponential form is:

10407 = 3¹ × 3469¹

Step-2: Prime Factorization of 10413

Prime factors of 10413 are 3, 13, 89. Prime factorization of 10413 in exponential form is:

10413 = 3² × 13¹ × 89¹

Step-3: Factors of 10407

List of positive integer factors of 10407 that divides 10407 without a remainder.

1, 3, 3469

Step-4: Factors of 10413

List of positive integer factors of 10413 that divides 10407 without a remainder.

1, 3, 9, 13, 39, 89, 117, 267, 801, 1157, 3471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10407 and 10413. The biggest common factor number is the GCF number.
So the greatest common factor 10407 and 10413 is 3.

Also check out the Least Common Multiple of 10407 and 10413