What is the Greatest Common Factor of 14578 and 14588?

Greatest common factor (GCF) of 14578 and 14588 is 2.

GCF(14578,14588) = 2

We will now calculate the prime factors of 14578 and 14588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14578 and 14588.

How to find the GCF of 14578 and 14588?

We will first find the prime factorization of 14578 and 14588. After we will calculate the factors of 14578 and 14588 and find the biggest common factor number .

Step-1: Prime Factorization of 14578

Prime factors of 14578 are 2, 37, 197. Prime factorization of 14578 in exponential form is:

14578 = 2¹ × 37¹ × 197¹

Step-2: Prime Factorization of 14588

Prime factors of 14588 are 2, 7, 521. Prime factorization of 14588 in exponential form is:

14588 = 2² × 7¹ × 521¹

Step-3: Factors of 14578

List of positive integer factors of 14578 that divides 14578 without a remainder.

1, 2, 37, 74, 197, 394, 7289

Step-4: Factors of 14588

List of positive integer factors of 14588 that divides 14578 without a remainder.

1, 2, 4, 7, 14, 28, 521, 1042, 2084, 3647, 7294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14578 and 14588. The biggest common factor number is the GCF number.
So the greatest common factor 14578 and 14588 is 2.

Also check out the Least Common Multiple of 14578 and 14588