What is the Greatest Common Factor of 43229 and 43245?

Greatest common factor (GCF) of 43229 and 43245 is 1.

GCF(43229,43245) = 1

We will now calculate the prime factors of 43229 and 43245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43229 and 43245.

How to find the GCF of 43229 and 43245?

We will first find the prime factorization of 43229 and 43245. After we will calculate the factors of 43229 and 43245 and find the biggest common factor number .

Step-1: Prime Factorization of 43229

Prime factors of 43229 are 139, 311. Prime factorization of 43229 in exponential form is:

43229 = 139¹ × 311¹

Step-2: Prime Factorization of 43245

Prime factors of 43245 are 3, 5, 31. Prime factorization of 43245 in exponential form is:

43245 = 3² × 5¹ × 31²

Step-3: Factors of 43229

List of positive integer factors of 43229 that divides 43229 without a remainder.

1, 139, 311

Step-4: Factors of 43245

List of positive integer factors of 43245 that divides 43229 without a remainder.

1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 961, 1395, 2883, 4805, 8649, 14415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43229 and 43245. The biggest common factor number is the GCF number.
So the greatest common factor 43229 and 43245 is 1.

Also check out the Least Common Multiple of 43229 and 43245