What is the Greatest Common Factor of 7404 and 7416?

Greatest common factor (GCF) of 7404 and 7416 is 12.

GCF(7404,7416) = 12

We will now calculate the prime factors of 7404 and 7416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7404 and 7416.

How to find the GCF of 7404 and 7416?

We will first find the prime factorization of 7404 and 7416. After we will calculate the factors of 7404 and 7416 and find the biggest common factor number .

Step-1: Prime Factorization of 7404

Prime factors of 7404 are 2, 3, 617. Prime factorization of 7404 in exponential form is:

7404 = 2² × 3¹ × 617¹

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 7404

List of positive integer factors of 7404 that divides 7404 without a remainder.

1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702

Step-4: Factors of 7416

List of positive integer factors of 7416 that divides 7404 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 7404 and 7416. The biggest common factor number is the GCF number.
So the greatest common factor 7404 and 7416 is 12.

Also check out the Least Common Multiple of 7404 and 7416