What is the Greatest Common Factor of 7405 and 7409?

Greatest common factor (GCF) of 7405 and 7409 is 1.

GCF(7405,7409) = 1

We will now calculate the prime factors of 7405 and 7409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7405 and 7409.

How to find the GCF of 7405 and 7409?

We will first find the prime factorization of 7405 and 7409. After we will calculate the factors of 7405 and 7409 and find the biggest common factor number .

Step-1: Prime Factorization of 7405

Prime factors of 7405 are 5, 1481. Prime factorization of 7405 in exponential form is:

7405 = 5¹ × 1481¹

Step-2: Prime Factorization of 7409

Prime factors of 7409 are 31, 239. Prime factorization of 7409 in exponential form is:

7409 = 31¹ × 239¹

Step-3: Factors of 7405

List of positive integer factors of 7405 that divides 7405 without a remainder.

1, 5, 1481

Step-4: Factors of 7409

List of positive integer factors of 7409 that divides 7405 without a remainder.

1, 31, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7405 and 7409. The biggest common factor number is the GCF number.
So the greatest common factor 7405 and 7409 is 1.

Also check out the Least Common Multiple of 7405 and 7409