What is the Greatest Common Factor of 4565 and 4575?

Greatest common factor (GCF) of 4565 and 4575 is 5.

GCF(4565,4575) = 5

We will now calculate the prime factors of 4565 and 4575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4565 and 4575.

How to find the GCF of 4565 and 4575?

We will first find the prime factorization of 4565 and 4575. After we will calculate the factors of 4565 and 4575 and find the biggest common factor number .

Step-1: Prime Factorization of 4565

Prime factors of 4565 are 5, 11, 83. Prime factorization of 4565 in exponential form is:

4565 = 5¹ × 11¹ × 83¹

Step-2: Prime Factorization of 4575

Prime factors of 4575 are 3, 5, 61. Prime factorization of 4575 in exponential form is:

4575 = 3¹ × 5² × 61¹

Step-3: Factors of 4565

List of positive integer factors of 4565 that divides 4565 without a remainder.

1, 5, 11, 55, 83, 415, 913

Step-4: Factors of 4575

List of positive integer factors of 4575 that divides 4565 without a remainder.

1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4565 and 4575. The biggest common factor number is the GCF number.
So the greatest common factor 4565 and 4575 is 5.

Also check out the Least Common Multiple of 4565 and 4575