What is the Greatest Common Factor of 7416 and 7423?

Greatest common factor (GCF) of 7416 and 7423 is 1.

GCF(7416,7423) = 1

We will now calculate the prime factors of 7416 and 7423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7416 and 7423.

How to find the GCF of 7416 and 7423?

We will first find the prime factorization of 7416 and 7423. After we will calculate the factors of 7416 and 7423 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 7423

Prime factors of 7423 are 13, 571. Prime factorization of 7423 in exponential form is:

7423 = 13¹ × 571¹

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 7423

List of positive integer factors of 7423 that divides 7416 without a remainder.

1, 13, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7416 and 7423. The biggest common factor number is the GCF number.
So the greatest common factor 7416 and 7423 is 1.

Also check out the Least Common Multiple of 7416 and 7423