What is the Greatest Common Factor of 40569 and 40575?

Greatest common factor (GCF) of 40569 and 40575 is 3.

GCF(40569,40575) = 3

We will now calculate the prime factors of 40569 and 40575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40569 and 40575.

How to find the GCF of 40569 and 40575?

We will first find the prime factorization of 40569 and 40575. After we will calculate the factors of 40569 and 40575 and find the biggest common factor number .

Step-1: Prime Factorization of 40569

Prime factors of 40569 are 3, 13523. Prime factorization of 40569 in exponential form is:

40569 = 3¹ × 13523¹

Step-2: Prime Factorization of 40575

Prime factors of 40575 are 3, 5, 541. Prime factorization of 40575 in exponential form is:

40575 = 3¹ × 5² × 541¹

Step-3: Factors of 40569

List of positive integer factors of 40569 that divides 40569 without a remainder.

1, 3, 13523

Step-4: Factors of 40575

List of positive integer factors of 40575 that divides 40569 without a remainder.

1, 3, 5, 15, 25, 75, 541, 1623, 2705, 8115, 13525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40569 and 40575. The biggest common factor number is the GCF number.
So the greatest common factor 40569 and 40575 is 3.

Also check out the Least Common Multiple of 40569 and 40575