What is the Greatest Common Factor of 7406 and 7413?

Greatest common factor (GCF) of 7406 and 7413 is 7.

GCF(7406,7413) = 7

We will now calculate the prime factors of 7406 and 7413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7406 and 7413.

How to find the GCF of 7406 and 7413?

We will first find the prime factorization of 7406 and 7413. After we will calculate the factors of 7406 and 7413 and find the biggest common factor number .

Step-1: Prime Factorization of 7406

Prime factors of 7406 are 2, 7, 23. Prime factorization of 7406 in exponential form is:

7406 = 2¹ × 7¹ × 23²

Step-2: Prime Factorization of 7413

Prime factors of 7413 are 3, 7, 353. Prime factorization of 7413 in exponential form is:

7413 = 3¹ × 7¹ × 353¹

Step-3: Factors of 7406

List of positive integer factors of 7406 that divides 7406 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703

Step-4: Factors of 7413

List of positive integer factors of 7413 that divides 7406 without a remainder.

1, 3, 7, 21, 353, 1059, 2471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7406 and 7413. The biggest common factor number is the GCF number.
So the greatest common factor 7406 and 7413 is 7.

Also check out the Least Common Multiple of 7406 and 7413