What is the Greatest Common Factor of 43206 and 43225?

Greatest common factor (GCF) of 43206 and 43225 is 19.

GCF(43206,43225) = 19

We will now calculate the prime factors of 43206 and 43225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43206 and 43225.

How to find the GCF of 43206 and 43225?

We will first find the prime factorization of 43206 and 43225. After we will calculate the factors of 43206 and 43225 and find the biggest common factor number .

Step-1: Prime Factorization of 43206

Prime factors of 43206 are 2, 3, 19, 379. Prime factorization of 43206 in exponential form is:

43206 = 2¹ × 3¹ × 19¹ × 379¹

Step-2: Prime Factorization of 43225

Prime factors of 43225 are 5, 7, 13, 19. Prime factorization of 43225 in exponential form is:

43225 = 5² × 7¹ × 13¹ × 19¹

Step-3: Factors of 43206

List of positive integer factors of 43206 that divides 43206 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 379, 758, 1137, 2274, 7201, 14402, 21603

Step-4: Factors of 43225

List of positive integer factors of 43225 that divides 43206 without a remainder.

1, 5, 7, 13, 19, 25, 35, 65, 91, 95, 133, 175, 247, 325, 455, 475, 665, 1235, 1729, 2275, 3325, 6175, 8645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43206 and 43225. The biggest common factor number is the GCF number.
So the greatest common factor 43206 and 43225 is 19.

Also check out the Least Common Multiple of 43206 and 43225