What is the Greatest Common Factor of 28523 and 28534?

Greatest common factor (GCF) of 28523 and 28534 is 11.

GCF(28523,28534) = 11

We will now calculate the prime factors of 28523 and 28534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28523 and 28534.

How to find the GCF of 28523 and 28534?

We will first find the prime factorization of 28523 and 28534. After we will calculate the factors of 28523 and 28534 and find the biggest common factor number .

Step-1: Prime Factorization of 28523

Prime factors of 28523 are 11, 2593. Prime factorization of 28523 in exponential form is:

28523 = 11¹ × 2593¹

Step-2: Prime Factorization of 28534

Prime factors of 28534 are 2, 11, 1297. Prime factorization of 28534 in exponential form is:

28534 = 2¹ × 11¹ × 1297¹

Step-3: Factors of 28523

List of positive integer factors of 28523 that divides 28523 without a remainder.

1, 11, 2593

Step-4: Factors of 28534

List of positive integer factors of 28534 that divides 28523 without a remainder.

1, 2, 11, 22, 1297, 2594, 14267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28523 and 28534. The biggest common factor number is the GCF number.
So the greatest common factor 28523 and 28534 is 11.

Also check out the Least Common Multiple of 28523 and 28534