What is the Greatest Common Factor of 43295 and 43300?

Greatest common factor (GCF) of 43295 and 43300 is 5.

GCF(43295,43300) = 5

We will now calculate the prime factors of 43295 and 43300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43295 and 43300.

How to find the GCF of 43295 and 43300?

We will first find the prime factorization of 43295 and 43300. After we will calculate the factors of 43295 and 43300 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43300

Prime factors of 43300 are 2, 5, 433. Prime factorization of 43300 in exponential form is:

43300 = 2² × 5² × 433¹

Step-3: Factors of 43295

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

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

Step-4: Factors of 43300

List of positive integer factors of 43300 that divides 43295 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 433, 866, 1732, 2165, 4330, 8660, 10825, 21650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43295 and 43300. The biggest common factor number is the GCF number.
So the greatest common factor 43295 and 43300 is 5.

Also check out the Least Common Multiple of 43295 and 43300