What is the Greatest Common Factor of 28638 and 28654?

Greatest common factor (GCF) of 28638 and 28654 is 2.

GCF(28638,28654) = 2

We will now calculate the prime factors of 28638 and 28654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28638 and 28654.

How to find the GCF of 28638 and 28654?

We will first find the prime factorization of 28638 and 28654. After we will calculate the factors of 28638 and 28654 and find the biggest common factor number .

Step-1: Prime Factorization of 28638

Prime factors of 28638 are 2, 3, 37, 43. Prime factorization of 28638 in exponential form is:

28638 = 2¹ × 3² × 37¹ × 43¹

Step-2: Prime Factorization of 28654

Prime factors of 28654 are 2, 14327. Prime factorization of 28654 in exponential form is:

28654 = 2¹ × 14327¹

Step-3: Factors of 28638

List of positive integer factors of 28638 that divides 28638 without a remainder.

1, 2, 3, 6, 9, 18, 37, 43, 74, 86, 111, 129, 222, 258, 333, 387, 666, 774, 1591, 3182, 4773, 9546, 14319

Step-4: Factors of 28654

List of positive integer factors of 28654 that divides 28638 without a remainder.

1, 2, 14327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28638 and 28654. The biggest common factor number is the GCF number.
So the greatest common factor 28638 and 28654 is 2.

Also check out the Least Common Multiple of 28638 and 28654