What is the Greatest Common Factor of 28574 and 28587?

Greatest common factor (GCF) of 28574 and 28587 is 13.

GCF(28574,28587) = 13

We will now calculate the prime factors of 28574 and 28587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28574 and 28587.

How to find the GCF of 28574 and 28587?

We will first find the prime factorization of 28574 and 28587. After we will calculate the factors of 28574 and 28587 and find the biggest common factor number .

Step-1: Prime Factorization of 28574

Prime factors of 28574 are 2, 7, 13, 157. Prime factorization of 28574 in exponential form is:

28574 = 2¹ × 7¹ × 13¹ × 157¹

Step-2: Prime Factorization of 28587

Prime factors of 28587 are 3, 13, 733. Prime factorization of 28587 in exponential form is:

28587 = 3¹ × 13¹ × 733¹

Step-3: Factors of 28574

List of positive integer factors of 28574 that divides 28574 without a remainder.

1, 2, 7, 13, 14, 26, 91, 157, 182, 314, 1099, 2041, 2198, 4082, 14287

Step-4: Factors of 28587

List of positive integer factors of 28587 that divides 28574 without a remainder.

1, 3, 13, 39, 733, 2199, 9529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28574 and 28587. The biggest common factor number is the GCF number.
So the greatest common factor 28574 and 28587 is 13.

Also check out the Least Common Multiple of 28574 and 28587