What is the Greatest Common Factor of 7408 and 7424?

Greatest common factor (GCF) of 7408 and 7424 is 16.

GCF(7408,7424) = 16

We will now calculate the prime factors of 7408 and 7424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7408 and 7424.

How to find the GCF of 7408 and 7424?

We will first find the prime factorization of 7408 and 7424. After we will calculate the factors of 7408 and 7424 and find the biggest common factor number .

Step-1: Prime Factorization of 7408

Prime factors of 7408 are 2, 463. Prime factorization of 7408 in exponential form is:

7408 = 2⁴ × 463¹

Step-2: Prime Factorization of 7424

Prime factors of 7424 are 2, 29. Prime factorization of 7424 in exponential form is:

7424 = 2⁸ × 29¹

Step-3: Factors of 7408

List of positive integer factors of 7408 that divides 7408 without a remainder.

1, 2, 4, 8, 16, 463, 926, 1852, 3704

Step-4: Factors of 7424

List of positive integer factors of 7424 that divides 7408 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7408 and 7424. The biggest common factor number is the GCF number.
So the greatest common factor 7408 and 7424 is 16.

Also check out the Least Common Multiple of 7408 and 7424