What is the Greatest Common Factor of 7376 and 7384?

Greatest common factor (GCF) of 7376 and 7384 is 8.

GCF(7376,7384) = 8

We will now calculate the prime factors of 7376 and 7384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7376 and 7384.

How to find the GCF of 7376 and 7384?

We will first find the prime factorization of 7376 and 7384. After we will calculate the factors of 7376 and 7384 and find the biggest common factor number .

Step-1: Prime Factorization of 7376

Prime factors of 7376 are 2, 461. Prime factorization of 7376 in exponential form is:

7376 = 2⁴ × 461¹

Step-2: Prime Factorization of 7384

Prime factors of 7384 are 2, 13, 71. Prime factorization of 7384 in exponential form is:

7384 = 2³ × 13¹ × 71¹

Step-3: Factors of 7376

List of positive integer factors of 7376 that divides 7376 without a remainder.

1, 2, 4, 8, 16, 461, 922, 1844, 3688

Step-4: Factors of 7384

List of positive integer factors of 7384 that divides 7376 without a remainder.

1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7376 and 7384. The biggest common factor number is the GCF number.
So the greatest common factor 7376 and 7384 is 8.

Also check out the Least Common Multiple of 7376 and 7384