What is the Greatest Common Factor of 43575 and 43589?

Greatest common factor (GCF) of 43575 and 43589 is 7.

GCF(43575,43589) = 7

We will now calculate the prime factors of 43575 and 43589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43575 and 43589.

How to find the GCF of 43575 and 43589?

We will first find the prime factorization of 43575 and 43589. After we will calculate the factors of 43575 and 43589 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 43589

Prime factors of 43589 are 7, 13, 479. Prime factorization of 43589 in exponential form is:

43589 = 7¹ × 13¹ × 479¹

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 43589

List of positive integer factors of 43589 that divides 43575 without a remainder.

1, 7, 13, 91, 479, 3353, 6227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43575 and 43589. The biggest common factor number is the GCF number.
So the greatest common factor 43575 and 43589 is 7.

Also check out the Least Common Multiple of 43575 and 43589