What is the Greatest Common Factor of 24585 and 24598?

Greatest common factor (GCF) of 24585 and 24598 is 1.

GCF(24585,24598) = 1

We will now calculate the prime factors of 24585 and 24598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24585 and 24598.

How to find the GCF of 24585 and 24598?

We will first find the prime factorization of 24585 and 24598. After we will calculate the factors of 24585 and 24598 and find the biggest common factor number .

Step-1: Prime Factorization of 24585

Prime factors of 24585 are 3, 5, 11, 149. Prime factorization of 24585 in exponential form is:

24585 = 3¹ × 5¹ × 11¹ × 149¹

Step-2: Prime Factorization of 24598

Prime factors of 24598 are 2, 7, 251. Prime factorization of 24598 in exponential form is:

24598 = 2¹ × 7² × 251¹

Step-3: Factors of 24585

List of positive integer factors of 24585 that divides 24585 without a remainder.

1, 3, 5, 11, 15, 33, 55, 149, 165, 447, 745, 1639, 2235, 4917, 8195

Step-4: Factors of 24598

List of positive integer factors of 24598 that divides 24585 without a remainder.

1, 2, 7, 14, 49, 98, 251, 502, 1757, 3514, 12299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24585 and 24598. The biggest common factor number is the GCF number.
So the greatest common factor 24585 and 24598 is 1.

Also check out the Least Common Multiple of 24585 and 24598