What is the Greatest Common Factor of 7416 and 7430?

Greatest common factor (GCF) of 7416 and 7430 is 2.

GCF(7416,7430) = 2

We will now calculate the prime factors of 7416 and 7430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7416 and 7430.

How to find the GCF of 7416 and 7430?

We will first find the prime factorization of 7416 and 7430. After we will calculate the factors of 7416 and 7430 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7430

Prime factors of 7430 are 2, 5, 743. Prime factorization of 7430 in exponential form is:

7430 = 2¹ × 5¹ × 743¹

Step-3: Factors of 7416

List of positive integer factors of 7416 that divides 7416 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

Step-4: Factors of 7430

List of positive integer factors of 7430 that divides 7416 without a remainder.

1, 2, 5, 10, 743, 1486, 3715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7416 and 7430. The biggest common factor number is the GCF number.
So the greatest common factor 7416 and 7430 is 2.

Also check out the Least Common Multiple of 7416 and 7430