What is the Greatest Common Factor of 23585 and 23596?

Greatest common factor (GCF) of 23585 and 23596 is 1.

GCF(23585,23596) = 1

We will now calculate the prime factors of 23585 and 23596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23585 and 23596.

How to find the GCF of 23585 and 23596?

We will first find the prime factorization of 23585 and 23596. After we will calculate the factors of 23585 and 23596 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 23596

Prime factors of 23596 are 2, 17, 347. Prime factorization of 23596 in exponential form is:

23596 = 2² × 17¹ × 347¹

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 23596

List of positive integer factors of 23596 that divides 23585 without a remainder.

1, 2, 4, 17, 34, 68, 347, 694, 1388, 5899, 11798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23585 and 23596. The biggest common factor number is the GCF number.
So the greatest common factor 23585 and 23596 is 1.

Also check out the Least Common Multiple of 23585 and 23596