What is the Greatest Common Factor of 7424 and 7441?

Greatest common factor (GCF) of 7424 and 7441 is 1.

GCF(7424,7441) = 1

We will now calculate the prime factors of 7424 and 7441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7424 and 7441.

How to find the GCF of 7424 and 7441?

We will first find the prime factorization of 7424 and 7441. After we will calculate the factors of 7424 and 7441 and find the biggest common factor number .

Step-1: Prime Factorization of 7424

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

7424 = 2⁸ × 29¹

Step-2: Prime Factorization of 7441

Prime factors of 7441 are 7, 1063. Prime factorization of 7441 in exponential form is:

7441 = 7¹ × 1063¹

Step-3: Factors of 7424

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

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

Step-4: Factors of 7441

List of positive integer factors of 7441 that divides 7424 without a remainder.

1, 7, 1063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7424 and 7441. The biggest common factor number is the GCF number.
So the greatest common factor 7424 and 7441 is 1.

Also check out the Least Common Multiple of 7424 and 7441