What is the Greatest Common Factor of 43575 and 43595?

Greatest common factor (GCF) of 43575 and 43595 is 5.

GCF(43575,43595) = 5

We will now calculate the prime factors of 43575 and 43595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43575 and 43595.

How to find the GCF of 43575 and 43595?

We will first find the prime factorization of 43575 and 43595. After we will calculate the factors of 43575 and 43595 and find the biggest common factor number .

Step-1: Prime Factorization of 43575

Prime factors of 43575 are 3, 5, 7, 83. Prime factorization of 43575 in exponential form is:

43575 = 3¹ × 5² × 7¹ × 83¹

Step-2: Prime Factorization of 43595

Prime factors of 43595 are 5, 8719. Prime factorization of 43595 in exponential form is:

43595 = 5¹ × 8719¹

Step-3: Factors of 43575

List of positive integer factors of 43575 that divides 43575 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 83, 105, 175, 249, 415, 525, 581, 1245, 1743, 2075, 2905, 6225, 8715, 14525

Step-4: Factors of 43595

List of positive integer factors of 43595 that divides 43575 without a remainder.

1, 5, 8719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43575 and 43595. The biggest common factor number is the GCF number.
So the greatest common factor 43575 and 43595 is 5.

Also check out the Least Common Multiple of 43575 and 43595