What is the Greatest Common Factor of 43380 and 43394?

Greatest common factor (GCF) of 43380 and 43394 is 2.

GCF(43380,43394) = 2

We will now calculate the prime factors of 43380 and 43394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43380 and 43394.

How to find the GCF of 43380 and 43394?

We will first find the prime factorization of 43380 and 43394. After we will calculate the factors of 43380 and 43394 and find the biggest common factor number .

Step-1: Prime Factorization of 43380

Prime factors of 43380 are 2, 3, 5, 241. Prime factorization of 43380 in exponential form is:

43380 = 2² × 3² × 5¹ × 241¹

Step-2: Prime Factorization of 43394

Prime factors of 43394 are 2, 13, 1669. Prime factorization of 43394 in exponential form is:

43394 = 2¹ × 13¹ × 1669¹

Step-3: Factors of 43380

List of positive integer factors of 43380 that divides 43380 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 241, 482, 723, 964, 1205, 1446, 2169, 2410, 2892, 3615, 4338, 4820, 7230, 8676, 10845, 14460, 21690

Step-4: Factors of 43394

List of positive integer factors of 43394 that divides 43380 without a remainder.

1, 2, 13, 26, 1669, 3338, 21697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43380 and 43394. The biggest common factor number is the GCF number.
So the greatest common factor 43380 and 43394 is 2.

Also check out the Least Common Multiple of 43380 and 43394