What is the Greatest Common Factor of 28475 and 28492?

Greatest common factor (GCF) of 28475 and 28492 is 17.

GCF(28475,28492) = 17

We will now calculate the prime factors of 28475 and 28492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28475 and 28492.

How to find the GCF of 28475 and 28492?

We will first find the prime factorization of 28475 and 28492. After we will calculate the factors of 28475 and 28492 and find the biggest common factor number .

Step-1: Prime Factorization of 28475

Prime factors of 28475 are 5, 17, 67. Prime factorization of 28475 in exponential form is:

28475 = 5² × 17¹ × 67¹

Step-2: 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-3: Factors of 28475

List of positive integer factors of 28475 that divides 28475 without a remainder.

1, 5, 17, 25, 67, 85, 335, 425, 1139, 1675, 5695

Step-4: Factors of 28492

List of positive integer factors of 28492 that divides 28475 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28475 and 28492. The biggest common factor number is the GCF number.
So the greatest common factor 28475 and 28492 is 17.

Also check out the Least Common Multiple of 28475 and 28492