What is the Greatest Common Factor of 43557 and 43575?

Greatest common factor (GCF) of 43557 and 43575 is 3.

GCF(43557,43575) = 3

We will now calculate the prime factors of 43557 and 43575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43557 and 43575.

How to find the GCF of 43557 and 43575?

We will first find the prime factorization of 43557 and 43575. After we will calculate the factors of 43557 and 43575 and find the biggest common factor number .

Step-1: Prime Factorization of 43557

Prime factors of 43557 are 3, 14519. Prime factorization of 43557 in exponential form is:

43557 = 3¹ × 14519¹

Step-2: 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-3: Factors of 43557

List of positive integer factors of 43557 that divides 43557 without a remainder.

1, 3, 14519

Step-4: Factors of 43575

List of positive integer factors of 43575 that divides 43557 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43557 and 43575. The biggest common factor number is the GCF number.
So the greatest common factor 43557 and 43575 is 3.

Also check out the Least Common Multiple of 43557 and 43575