What is the Greatest Common Factor of 43569 and 43575?

Greatest common factor (GCF) of 43569 and 43575 is 3.

GCF(43569,43575) = 3

We will now calculate the prime factors of 43569 and 43575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43569 and 43575.

How to find the GCF of 43569 and 43575?

We will first find the prime factorization of 43569 and 43575. After we will calculate the factors of 43569 and 43575 and find the biggest common factor number .

Step-1: Prime Factorization of 43569

Prime factors of 43569 are 3, 47, 103. Prime factorization of 43569 in exponential form is:

43569 = 3² × 47¹ × 103¹

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 43569

List of positive integer factors of 43569 that divides 43569 without a remainder.

1, 3, 9, 47, 103, 141, 309, 423, 927, 4841, 14523

Step-4: Factors of 43575

List of positive integer factors of 43575 that divides 43569 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 43569 and 43575. The biggest common factor number is the GCF number.
So the greatest common factor 43569 and 43575 is 3.

Also check out the Least Common Multiple of 43569 and 43575