What is the Greatest Common Factor of 7409 and 7416?

Greatest common factor (GCF) of 7409 and 7416 is 1.

GCF(7409,7416) = 1

We will now calculate the prime factors of 7409 and 7416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7409 and 7416.

How to find the GCF of 7409 and 7416?

We will first find the prime factorization of 7409 and 7416. After we will calculate the factors of 7409 and 7416 and find the biggest common factor number .

Step-1: Prime Factorization of 7409

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

7409 = 31¹ × 239¹

Step-2: Prime Factorization of 7416

Prime factors of 7416 are 2, 3, 103. Prime factorization of 7416 in exponential form is:

7416 = 2³ × 3² × 103¹

Step-3: Factors of 7409

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

1, 31, 239

Step-4: Factors of 7416

List of positive integer factors of 7416 that divides 7409 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 103, 206, 309, 412, 618, 824, 927, 1236, 1854, 2472, 3708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7409 and 7416. The biggest common factor number is the GCF number.
So the greatest common factor 7409 and 7416 is 1.

Also check out the Least Common Multiple of 7409 and 7416