What is the Greatest Common Factor of 43225 and 43238?

Greatest common factor (GCF) of 43225 and 43238 is 13.

GCF(43225,43238) = 13

We will now calculate the prime factors of 43225 and 43238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43225 and 43238.

How to find the GCF of 43225 and 43238?

We will first find the prime factorization of 43225 and 43238. After we will calculate the factors of 43225 and 43238 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43238

Prime factors of 43238 are 2, 13, 1663. Prime factorization of 43238 in exponential form is:

43238 = 2¹ × 13¹ × 1663¹

Step-3: Factors of 43225

List of positive integer factors of 43225 that divides 43225 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

Step-4: Factors of 43238

List of positive integer factors of 43238 that divides 43225 without a remainder.

1, 2, 13, 26, 1663, 3326, 21619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43225 and 43238. The biggest common factor number is the GCF number.
So the greatest common factor 43225 and 43238 is 13.

Also check out the Least Common Multiple of 43225 and 43238