What is the Greatest Common Factor of 28070 and 28085?

Greatest common factor (GCF) of 28070 and 28085 is 5.

GCF(28070,28085) = 5

We will now calculate the prime factors of 28070 and 28085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28070 and 28085.

How to find the GCF of 28070 and 28085?

We will first find the prime factorization of 28070 and 28085. After we will calculate the factors of 28070 and 28085 and find the biggest common factor number .

Step-1: Prime Factorization of 28070

Prime factors of 28070 are 2, 5, 7, 401. Prime factorization of 28070 in exponential form is:

28070 = 2¹ × 5¹ × 7¹ × 401¹

Step-2: 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-3: Factors of 28070

List of positive integer factors of 28070 that divides 28070 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 401, 802, 2005, 2807, 4010, 5614, 14035

Step-4: Factors of 28085

List of positive integer factors of 28085 that divides 28070 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28070 and 28085. The biggest common factor number is the GCF number.
So the greatest common factor 28070 and 28085 is 5.

Also check out the Least Common Multiple of 28070 and 28085