What is the Greatest Common Factor of 43275 and 43295?

Greatest common factor (GCF) of 43275 and 43295 is 5.

GCF(43275,43295) = 5

We will now calculate the prime factors of 43275 and 43295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43275 and 43295.

How to find the GCF of 43275 and 43295?

We will first find the prime factorization of 43275 and 43295. After we will calculate the factors of 43275 and 43295 and find the biggest common factor number .

Step-1: Prime Factorization of 43275

Prime factors of 43275 are 3, 5, 577. Prime factorization of 43275 in exponential form is:

43275 = 3¹ × 5² × 577¹

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 43275

List of positive integer factors of 43275 that divides 43275 without a remainder.

1, 3, 5, 15, 25, 75, 577, 1731, 2885, 8655, 14425

Step-4: Factors of 43295

List of positive integer factors of 43295 that divides 43275 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43275 and 43295. The biggest common factor number is the GCF number.
So the greatest common factor 43275 and 43295 is 5.

Also check out the Least Common Multiple of 43275 and 43295