What is the Greatest Common Factor of 43281 and 43295?

Greatest common factor (GCF) of 43281 and 43295 is 7.

GCF(43281,43295) = 7

We will now calculate the prime factors of 43281 and 43295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43281 and 43295.

How to find the GCF of 43281 and 43295?

We will first find the prime factorization of 43281 and 43295. After we will calculate the factors of 43281 and 43295 and find the biggest common factor number .

Step-1: Prime Factorization of 43281

Prime factors of 43281 are 3, 7, 229. Prime factorization of 43281 in exponential form is:

43281 = 3³ × 7¹ × 229¹

Step-2: Prime Factorization of 43295

Prime factors of 43295 are 5, 7, 1237. Prime factorization of 43295 in exponential form is:

43295 = 5¹ × 7¹ × 1237¹

Step-3: Factors of 43281

List of positive integer factors of 43281 that divides 43281 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 229, 687, 1603, 2061, 4809, 6183, 14427

Step-4: Factors of 43295

List of positive integer factors of 43295 that divides 43281 without a remainder.

1, 5, 7, 35, 1237, 6185, 8659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43281 and 43295. The biggest common factor number is the GCF number.
So the greatest common factor 43281 and 43295 is 7.

Also check out the Least Common Multiple of 43281 and 43295