What is the Greatest Common Factor of 28638 and 28657?

Greatest common factor (GCF) of 28638 and 28657 is 1.

GCF(28638,28657) = 1

We will now calculate the prime factors of 28638 and 28657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28638 and 28657.

How to find the GCF of 28638 and 28657?

We will first find the prime factorization of 28638 and 28657. After we will calculate the factors of 28638 and 28657 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 28657

Prime factors of 28657 are 28657. Prime factorization of 28657 in exponential form is:

28657 = 28657¹

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 28657

List of positive integer factors of 28657 that divides 28638 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28638 and 28657. The biggest common factor number is the GCF number.
So the greatest common factor 28638 and 28657 is 1.

Also check out the Least Common Multiple of 28638 and 28657