What is the Greatest Common Factor of 28595 and 28614?

Greatest common factor (GCF) of 28595 and 28614 is 19.

GCF(28595,28614) = 19

We will now calculate the prime factors of 28595 and 28614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28595 and 28614.

How to find the GCF of 28595 and 28614?

We will first find the prime factorization of 28595 and 28614. After we will calculate the factors of 28595 and 28614 and find the biggest common factor number .

Step-1: Prime Factorization of 28595

Prime factors of 28595 are 5, 7, 19, 43. Prime factorization of 28595 in exponential form is:

28595 = 5¹ × 7¹ × 19¹ × 43¹

Step-2: Prime Factorization of 28614

Prime factors of 28614 are 2, 3, 19, 251. Prime factorization of 28614 in exponential form is:

28614 = 2¹ × 3¹ × 19¹ × 251¹

Step-3: Factors of 28595

List of positive integer factors of 28595 that divides 28595 without a remainder.

1, 5, 7, 19, 35, 43, 95, 133, 215, 301, 665, 817, 1505, 4085, 5719

Step-4: Factors of 28614

List of positive integer factors of 28614 that divides 28595 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 251, 502, 753, 1506, 4769, 9538, 14307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28595 and 28614. The biggest common factor number is the GCF number.
So the greatest common factor 28595 and 28614 is 19.

Also check out the Least Common Multiple of 28595 and 28614