What is the Greatest Common Factor of 43364 and 43378?

Greatest common factor (GCF) of 43364 and 43378 is 2.

GCF(43364,43378) = 2

We will now calculate the prime factors of 43364 and 43378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43364 and 43378.

How to find the GCF of 43364 and 43378?

We will first find the prime factorization of 43364 and 43378. After we will calculate the factors of 43364 and 43378 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 43378

Prime factors of 43378 are 2, 23, 41. Prime factorization of 43378 in exponential form is:

43378 = 2¹ × 23² × 41¹

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 43378

List of positive integer factors of 43378 that divides 43364 without a remainder.

1, 2, 23, 41, 46, 82, 529, 943, 1058, 1886, 21689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43364 and 43378. The biggest common factor number is the GCF number.
So the greatest common factor 43364 and 43378 is 2.

Also check out the Least Common Multiple of 43364 and 43378