What is the Greatest Common Factor of 43185 and 43195?

Greatest common factor (GCF) of 43185 and 43195 is 5.

GCF(43185,43195) = 5

We will now calculate the prime factors of 43185 and 43195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43185 and 43195.

How to find the GCF of 43185 and 43195?

We will first find the prime factorization of 43185 and 43195. After we will calculate the factors of 43185 and 43195 and find the biggest common factor number .

Step-1: Prime Factorization of 43185

Prime factors of 43185 are 3, 5, 2879. Prime factorization of 43185 in exponential form is:

43185 = 3¹ × 5¹ × 2879¹

Step-2: Prime Factorization of 43195

Prime factors of 43195 are 5, 53, 163. Prime factorization of 43195 in exponential form is:

43195 = 5¹ × 53¹ × 163¹

Step-3: Factors of 43185

List of positive integer factors of 43185 that divides 43185 without a remainder.

1, 3, 5, 15, 2879, 8637, 14395

Step-4: Factors of 43195

List of positive integer factors of 43195 that divides 43185 without a remainder.

1, 5, 53, 163, 265, 815, 8639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43185 and 43195. The biggest common factor number is the GCF number.
So the greatest common factor 43185 and 43195 is 5.

Also check out the Least Common Multiple of 43185 and 43195