What is the Greatest Common Factor of 28490 and 28498?

Greatest common factor (GCF) of 28490 and 28498 is 2.

GCF(28490,28498) = 2

We will now calculate the prime factors of 28490 and 28498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28490 and 28498.

How to find the GCF of 28490 and 28498?

We will first find the prime factorization of 28490 and 28498. After we will calculate the factors of 28490 and 28498 and find the biggest common factor number .

Step-1: Prime Factorization of 28490

Prime factors of 28490 are 2, 5, 7, 11, 37. Prime factorization of 28490 in exponential form is:

28490 = 2¹ × 5¹ × 7¹ × 11¹ × 37¹

Step-2: Prime Factorization of 28498

Prime factors of 28498 are 2, 14249. Prime factorization of 28498 in exponential form is:

28498 = 2¹ × 14249¹

Step-3: Factors of 28490

List of positive integer factors of 28490 that divides 28490 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 37, 55, 70, 74, 77, 110, 154, 185, 259, 370, 385, 407, 518, 770, 814, 1295, 2035, 2590, 2849, 4070, 5698, 14245

Step-4: Factors of 28498

List of positive integer factors of 28498 that divides 28490 without a remainder.

1, 2, 14249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28490 and 28498. The biggest common factor number is the GCF number.
So the greatest common factor 28490 and 28498 is 2.

Also check out the Least Common Multiple of 28490 and 28498