What is the Greatest Common Factor of 43150 and 43164?

Greatest common factor (GCF) of 43150 and 43164 is 2.

GCF(43150,43164) = 2

We will now calculate the prime factors of 43150 and 43164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43150 and 43164.

How to find the GCF of 43150 and 43164?

We will first find the prime factorization of 43150 and 43164. After we will calculate the factors of 43150 and 43164 and find the biggest common factor number .

Step-1: Prime Factorization of 43150

Prime factors of 43150 are 2, 5, 863. Prime factorization of 43150 in exponential form is:

43150 = 2¹ × 5² × 863¹

Step-2: Prime Factorization of 43164

Prime factors of 43164 are 2, 3, 11, 109. Prime factorization of 43164 in exponential form is:

43164 = 2² × 3² × 11¹ × 109¹

Step-3: Factors of 43150

List of positive integer factors of 43150 that divides 43150 without a remainder.

1, 2, 5, 10, 25, 50, 863, 1726, 4315, 8630, 21575

Step-4: Factors of 43164

List of positive integer factors of 43164 that divides 43150 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 109, 132, 198, 218, 327, 396, 436, 654, 981, 1199, 1308, 1962, 2398, 3597, 3924, 4796, 7194, 10791, 14388, 21582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43150 and 43164. The biggest common factor number is the GCF number.
So the greatest common factor 43150 and 43164 is 2.

Also check out the Least Common Multiple of 43150 and 43164