What is the Greatest Common Factor of 74589 and 74608?

Greatest common factor (GCF) of 74589 and 74608 is 1.

GCF(74589,74608) = 1

We will now calculate the prime factors of 74589 and 74608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74589 and 74608.

How to find the GCF of 74589 and 74608?

We will first find the prime factorization of 74589 and 74608. After we will calculate the factors of 74589 and 74608 and find the biggest common factor number .

Step-1: Prime Factorization of 74589

Prime factors of 74589 are 3, 23, 47. Prime factorization of 74589 in exponential form is:

74589 = 3¹ × 23² × 47¹

Step-2: Prime Factorization of 74608

Prime factors of 74608 are 2, 4663. Prime factorization of 74608 in exponential form is:

74608 = 2⁴ × 4663¹

Step-3: Factors of 74589

List of positive integer factors of 74589 that divides 74589 without a remainder.

1, 3, 23, 47, 69, 141, 529, 1081, 1587, 3243, 24863

Step-4: Factors of 74608

List of positive integer factors of 74608 that divides 74589 without a remainder.

1, 2, 4, 8, 16, 4663, 9326, 18652, 37304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74589 and 74608. The biggest common factor number is the GCF number.
So the greatest common factor 74589 and 74608 is 1.

Also check out the Least Common Multiple of 74589 and 74608