What is the Greatest Common Factor of 7438 and 7456?

Greatest common factor (GCF) of 7438 and 7456 is 2.

GCF(7438,7456) = 2

We will now calculate the prime factors of 7438 and 7456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7438 and 7456.

How to find the GCF of 7438 and 7456?

We will first find the prime factorization of 7438 and 7456. After we will calculate the factors of 7438 and 7456 and find the biggest common factor number .

Step-1: Prime Factorization of 7438

Prime factors of 7438 are 2, 3719. Prime factorization of 7438 in exponential form is:

7438 = 2¹ × 3719¹

Step-2: Prime Factorization of 7456

Prime factors of 7456 are 2, 233. Prime factorization of 7456 in exponential form is:

7456 = 2⁵ × 233¹

Step-3: Factors of 7438

List of positive integer factors of 7438 that divides 7438 without a remainder.

1, 2, 3719

Step-4: Factors of 7456

List of positive integer factors of 7456 that divides 7438 without a remainder.

1, 2, 4, 8, 16, 32, 233, 466, 932, 1864, 3728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7438 and 7456. The biggest common factor number is the GCF number.
So the greatest common factor 7438 and 7456 is 2.

Also check out the Least Common Multiple of 7438 and 7456