What is the Greatest Common Factor of 28617 and 28623?

Greatest common factor (GCF) of 28617 and 28623 is 3.

GCF(28617,28623) = 3

We will now calculate the prime factors of 28617 and 28623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28617 and 28623.

How to find the GCF of 28617 and 28623?

We will first find the prime factorization of 28617 and 28623. After we will calculate the factors of 28617 and 28623 and find the biggest common factor number .

Step-1: Prime Factorization of 28617

Prime factors of 28617 are 3, 9539. Prime factorization of 28617 in exponential form is:

28617 = 3¹ × 9539¹

Step-2: Prime Factorization of 28623

Prime factors of 28623 are 3, 7, 29, 47. Prime factorization of 28623 in exponential form is:

28623 = 3¹ × 7¹ × 29¹ × 47¹

Step-3: Factors of 28617

List of positive integer factors of 28617 that divides 28617 without a remainder.

1, 3, 9539

Step-4: Factors of 28623

List of positive integer factors of 28623 that divides 28617 without a remainder.

1, 3, 7, 21, 29, 47, 87, 141, 203, 329, 609, 987, 1363, 4089, 9541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28617 and 28623. The biggest common factor number is the GCF number.
So the greatest common factor 28617 and 28623 is 3.

Also check out the Least Common Multiple of 28617 and 28623