What is the Greatest Common Factor of 23585 and 23597?

Greatest common factor (GCF) of 23585 and 23597 is 1.

GCF(23585,23597) = 1

We will now calculate the prime factors of 23585 and 23597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23585 and 23597.

How to find the GCF of 23585 and 23597?

We will first find the prime factorization of 23585 and 23597. After we will calculate the factors of 23585 and 23597 and find the biggest common factor number .

Step-1: Prime Factorization of 23585

Prime factors of 23585 are 5, 53, 89. Prime factorization of 23585 in exponential form is:

23585 = 5¹ × 53¹ × 89¹

Step-2: Prime Factorization of 23597

Prime factors of 23597 are 7, 3371. Prime factorization of 23597 in exponential form is:

23597 = 7¹ × 3371¹

Step-3: Factors of 23585

List of positive integer factors of 23585 that divides 23585 without a remainder.

1, 5, 53, 89, 265, 445, 4717

Step-4: Factors of 23597

List of positive integer factors of 23597 that divides 23585 without a remainder.

1, 7, 3371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23585 and 23597. The biggest common factor number is the GCF number.
So the greatest common factor 23585 and 23597 is 1.

Also check out the Least Common Multiple of 23585 and 23597