What is the Greatest Common Factor of 28085 and 28105?

Greatest common factor (GCF) of 28085 and 28105 is 5.

GCF(28085,28105) = 5

We will now calculate the prime factors of 28085 and 28105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28085 and 28105.

How to find the GCF of 28085 and 28105?

We will first find the prime factorization of 28085 and 28105. After we will calculate the factors of 28085 and 28105 and find the biggest common factor number .

Step-1: Prime Factorization of 28085

Prime factors of 28085 are 5, 41, 137. Prime factorization of 28085 in exponential form is:

28085 = 5¹ × 41¹ × 137¹

Step-2: Prime Factorization of 28105

Prime factors of 28105 are 5, 7, 11, 73. Prime factorization of 28105 in exponential form is:

28105 = 5¹ × 7¹ × 11¹ × 73¹

Step-3: Factors of 28085

List of positive integer factors of 28085 that divides 28085 without a remainder.

1, 5, 41, 137, 205, 685, 5617

Step-4: Factors of 28105

List of positive integer factors of 28105 that divides 28085 without a remainder.

1, 5, 7, 11, 35, 55, 73, 77, 365, 385, 511, 803, 2555, 4015, 5621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28085 and 28105. The biggest common factor number is the GCF number.
So the greatest common factor 28085 and 28105 is 5.

Also check out the Least Common Multiple of 28085 and 28105