What is the Greatest Common Factor of 28490 and 28505?

Greatest common factor (GCF) of 28490 and 28505 is 5.

GCF(28490,28505) = 5

We will now calculate the prime factors of 28490 and 28505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28490 and 28505.

How to find the GCF of 28490 and 28505?

We will first find the prime factorization of 28490 and 28505. After we will calculate the factors of 28490 and 28505 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 28505

Prime factors of 28505 are 5, 5701. Prime factorization of 28505 in exponential form is:

28505 = 5¹ × 5701¹

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 28505

List of positive integer factors of 28505 that divides 28490 without a remainder.

1, 5, 5701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28490 and 28505. The biggest common factor number is the GCF number.
So the greatest common factor 28490 and 28505 is 5.

Also check out the Least Common Multiple of 28490 and 28505