What is the Greatest Common Factor of 28492 and 28506?

Greatest common factor (GCF) of 28492 and 28506 is 2.

GCF(28492,28506) = 2

We will now calculate the prime factors of 28492 and 28506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28492 and 28506.

How to find the GCF of 28492 and 28506?

We will first find the prime factorization of 28492 and 28506. After we will calculate the factors of 28492 and 28506 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 28506

Prime factors of 28506 are 2, 3, 4751. Prime factorization of 28506 in exponential form is:

28506 = 2¹ × 3¹ × 4751¹

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 28506

List of positive integer factors of 28506 that divides 28492 without a remainder.

1, 2, 3, 6, 4751, 9502, 14253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28492 and 28506. The biggest common factor number is the GCF number.
So the greatest common factor 28492 and 28506 is 2.

Also check out the Least Common Multiple of 28492 and 28506