What is the Greatest Common Factor of 23574 and 23585?

Greatest common factor (GCF) of 23574 and 23585 is 1.

GCF(23574,23585) = 1

We will now calculate the prime factors of 23574 and 23585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23574 and 23585.

How to find the GCF of 23574 and 23585?

We will first find the prime factorization of 23574 and 23585. After we will calculate the factors of 23574 and 23585 and find the biggest common factor number .

Step-1: Prime Factorization of 23574

Prime factors of 23574 are 2, 3, 3929. Prime factorization of 23574 in exponential form is:

23574 = 2¹ × 3¹ × 3929¹

Step-2: 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-3: Factors of 23574

List of positive integer factors of 23574 that divides 23574 without a remainder.

1, 2, 3, 6, 3929, 7858, 11787

Step-4: Factors of 23585

List of positive integer factors of 23585 that divides 23574 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23574 and 23585. The biggest common factor number is the GCF number.
So the greatest common factor 23574 and 23585 is 1.

Also check out the Least Common Multiple of 23574 and 23585