What is the Greatest Common Factor of 28492 and 28509?

Greatest common factor (GCF) of 28492 and 28509 is 17.

GCF(28492,28509) = 17

We will now calculate the prime factors of 28492 and 28509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28492 and 28509.

How to find the GCF of 28492 and 28509?

We will first find the prime factorization of 28492 and 28509. After we will calculate the factors of 28492 and 28509 and find the biggest common factor number .

Step-1: Prime Factorization of 28492

Prime factors of 28492 are 2, 17, 419. Prime factorization of 28492 in exponential form is:

28492 = 2² × 17¹ × 419¹

Step-2: Prime Factorization of 28509

Prime factors of 28509 are 3, 13, 17, 43. Prime factorization of 28509 in exponential form is:

28509 = 3¹ × 13¹ × 17¹ × 43¹

Step-3: Factors of 28492

List of positive integer factors of 28492 that divides 28492 without a remainder.

1, 2, 4, 17, 34, 68, 419, 838, 1676, 7123, 14246

Step-4: Factors of 28509

List of positive integer factors of 28509 that divides 28492 without a remainder.

1, 3, 13, 17, 39, 43, 51, 129, 221, 559, 663, 731, 1677, 2193, 9503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28492 and 28509. The biggest common factor number is the GCF number.
So the greatest common factor 28492 and 28509 is 17.

Also check out the Least Common Multiple of 28492 and 28509