What is the Greatest Common Factor of 4585 and 4592?

Greatest common factor (GCF) of 4585 and 4592 is 7.

GCF(4585,4592) = 7

We will now calculate the prime factors of 4585 and 4592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4585 and 4592.

How to find the GCF of 4585 and 4592?

We will first find the prime factorization of 4585 and 4592. After we will calculate the factors of 4585 and 4592 and find the biggest common factor number .

Step-1: Prime Factorization of 4585

Prime factors of 4585 are 5, 7, 131. Prime factorization of 4585 in exponential form is:

4585 = 5¹ × 7¹ × 131¹

Step-2: Prime Factorization of 4592

Prime factors of 4592 are 2, 7, 41. Prime factorization of 4592 in exponential form is:

4592 = 2⁴ × 7¹ × 41¹

Step-3: Factors of 4585

List of positive integer factors of 4585 that divides 4585 without a remainder.

1, 5, 7, 35, 131, 655, 917

Step-4: Factors of 4592

List of positive integer factors of 4592 that divides 4585 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4585 and 4592. The biggest common factor number is the GCF number.
So the greatest common factor 4585 and 4592 is 7.

Also check out the Least Common Multiple of 4585 and 4592