What is the Greatest Common Factor of 7414 and 7424?

Greatest common factor (GCF) of 7414 and 7424 is 2.

GCF(7414,7424) = 2

We will now calculate the prime factors of 7414 and 7424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7414 and 7424.

How to find the GCF of 7414 and 7424?

We will first find the prime factorization of 7414 and 7424. After we will calculate the factors of 7414 and 7424 and find the biggest common factor number .

Step-1: Prime Factorization of 7414

Prime factors of 7414 are 2, 11, 337. Prime factorization of 7414 in exponential form is:

7414 = 2¹ × 11¹ × 337¹

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 7414

List of positive integer factors of 7414 that divides 7414 without a remainder.

1, 2, 11, 22, 337, 674, 3707

Step-4: Factors of 7424

List of positive integer factors of 7424 that divides 7414 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 7414 and 7424. The biggest common factor number is the GCF number.
So the greatest common factor 7414 and 7424 is 2.

Also check out the Least Common Multiple of 7414 and 7424