What is the Greatest Common Factor of 43364 and 43384?

Greatest common factor (GCF) of 43364 and 43384 is 4.

GCF(43364,43384) = 4

We will now calculate the prime factors of 43364 and 43384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43364 and 43384.

How to find the GCF of 43364 and 43384?

We will first find the prime factorization of 43364 and 43384. After we will calculate the factors of 43364 and 43384 and find the biggest common factor number .

Step-1: Prime Factorization of 43364

Prime factors of 43364 are 2, 37, 293. Prime factorization of 43364 in exponential form is:

43364 = 2² × 37¹ × 293¹

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 43364

List of positive integer factors of 43364 that divides 43364 without a remainder.

1, 2, 4, 37, 74, 148, 293, 586, 1172, 10841, 21682

Step-4: Factors of 43384

List of positive integer factors of 43384 that divides 43364 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 43364 and 43384. The biggest common factor number is the GCF number.
So the greatest common factor 43364 and 43384 is 4.

Also check out the Least Common Multiple of 43364 and 43384