What is the Greatest Common Factor of 28981 and 28985?

Greatest common factor (GCF) of 28981 and 28985 is 1.

GCF(28981,28985) = 1

We will now calculate the prime factors of 28981 and 28985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28981 and 28985.

How to find the GCF of 28981 and 28985?

We will first find the prime factorization of 28981 and 28985. After we will calculate the factors of 28981 and 28985 and find the biggest common factor number .

Step-1: Prime Factorization of 28981

Prime factors of 28981 are 73, 397. Prime factorization of 28981 in exponential form is:

28981 = 73¹ × 397¹

Step-2: Prime Factorization of 28985

Prime factors of 28985 are 5, 11, 17, 31. Prime factorization of 28985 in exponential form is:

28985 = 5¹ × 11¹ × 17¹ × 31¹

Step-3: Factors of 28981

List of positive integer factors of 28981 that divides 28981 without a remainder.

1, 73, 397

Step-4: Factors of 28985

List of positive integer factors of 28985 that divides 28981 without a remainder.

1, 5, 11, 17, 31, 55, 85, 155, 187, 341, 527, 935, 1705, 2635, 5797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28981 and 28985. The biggest common factor number is the GCF number.
So the greatest common factor 28981 and 28985 is 1.

Also check out the Least Common Multiple of 28981 and 28985