What is the Greatest Common Factor of 14574 and 14587?

Greatest common factor (GCF) of 14574 and 14587 is 1.

GCF(14574,14587) = 1

We will now calculate the prime factors of 14574 and 14587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14574 and 14587.

How to find the GCF of 14574 and 14587?

We will first find the prime factorization of 14574 and 14587. After we will calculate the factors of 14574 and 14587 and find the biggest common factor number .

Step-1: Prime Factorization of 14574

Prime factors of 14574 are 2, 3, 7, 347. Prime factorization of 14574 in exponential form is:

14574 = 2¹ × 3¹ × 7¹ × 347¹

Step-2: Prime Factorization of 14587

Prime factors of 14587 are 29, 503. Prime factorization of 14587 in exponential form is:

14587 = 29¹ × 503¹

Step-3: Factors of 14574

List of positive integer factors of 14574 that divides 14574 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 347, 694, 1041, 2082, 2429, 4858, 7287

Step-4: Factors of 14587

List of positive integer factors of 14587 that divides 14574 without a remainder.

1, 29, 503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14574 and 14587. The biggest common factor number is the GCF number.
So the greatest common factor 14574 and 14587 is 1.

Also check out the Least Common Multiple of 14574 and 14587