What is the Greatest Common Factor of 4585 and 4598?

Greatest common factor (GCF) of 4585 and 4598 is 1.

GCF(4585,4598) = 1

We will now calculate the prime factors of 4585 and 4598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4585 and 4598.

How to find the GCF of 4585 and 4598?

We will first find the prime factorization of 4585 and 4598. After we will calculate the factors of 4585 and 4598 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 4598

Prime factors of 4598 are 2, 11, 19. Prime factorization of 4598 in exponential form is:

4598 = 2¹ × 11² × 19¹

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 4598

List of positive integer factors of 4598 that divides 4585 without a remainder.

1, 2, 11, 19, 22, 38, 121, 209, 242, 418, 2299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4585 and 4598. The biggest common factor number is the GCF number.
So the greatest common factor 4585 and 4598 is 1.

Also check out the Least Common Multiple of 4585 and 4598