What is the Greatest Common Factor of 28574 and 28589?

Greatest common factor (GCF) of 28574 and 28589 is 1.

GCF(28574,28589) = 1

We will now calculate the prime factors of 28574 and 28589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28574 and 28589.

How to find the GCF of 28574 and 28589?

We will first find the prime factorization of 28574 and 28589. After we will calculate the factors of 28574 and 28589 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 28589

Prime factors of 28589 are 11, 23, 113. Prime factorization of 28589 in exponential form is:

28589 = 11¹ × 23¹ × 113¹

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 28589

List of positive integer factors of 28589 that divides 28574 without a remainder.

1, 11, 23, 113, 253, 1243, 2599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28574 and 28589. The biggest common factor number is the GCF number.
So the greatest common factor 28574 and 28589 is 1.

Also check out the Least Common Multiple of 28574 and 28589