What is the Greatest Common Factor of 43376 and 43384?

Greatest common factor (GCF) of 43376 and 43384 is 8.

GCF(43376,43384) = 8

We will now calculate the prime factors of 43376 and 43384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43376 and 43384.

How to find the GCF of 43376 and 43384?

We will first find the prime factorization of 43376 and 43384. After we will calculate the factors of 43376 and 43384 and find the biggest common factor number .

Step-1: Prime Factorization of 43376

Prime factors of 43376 are 2, 2711. Prime factorization of 43376 in exponential form is:

43376 = 2⁴ × 2711¹

Step-2: Prime Factorization of 43384

Prime factors of 43384 are 2, 11, 17, 29. Prime factorization of 43384 in exponential form is:

43384 = 2³ × 11¹ × 17¹ × 29¹

Step-3: Factors of 43376

List of positive integer factors of 43376 that divides 43376 without a remainder.

1, 2, 4, 8, 16, 2711, 5422, 10844, 21688

Step-4: Factors of 43384

List of positive integer factors of 43384 that divides 43376 without a remainder.

1, 2, 4, 8, 11, 17, 22, 29, 34, 44, 58, 68, 88, 116, 136, 187, 232, 319, 374, 493, 638, 748, 986, 1276, 1496, 1972, 2552, 3944, 5423, 10846, 21692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43376 and 43384. The biggest common factor number is the GCF number.
So the greatest common factor 43376 and 43384 is 8.

Also check out the Least Common Multiple of 43376 and 43384