What is the Greatest Common Factor of 88985 and 89005?

Greatest common factor (GCF) of 88985 and 89005 is 5.

GCF(88985,89005) = 5

We will now calculate the prime factors of 88985 and 89005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88985 and 89005.

How to find the GCF of 88985 and 89005?

We will first find the prime factorization of 88985 and 89005. After we will calculate the factors of 88985 and 89005 and find the biggest common factor number .

Step-1: Prime Factorization of 88985

Prime factors of 88985 are 5, 13, 37. Prime factorization of 88985 in exponential form is:

88985 = 5¹ × 13¹ × 37²

Step-2: Prime Factorization of 89005

Prime factors of 89005 are 5, 7, 2543. Prime factorization of 89005 in exponential form is:

89005 = 5¹ × 7¹ × 2543¹

Step-3: Factors of 88985

List of positive integer factors of 88985 that divides 88985 without a remainder.

1, 5, 13, 37, 65, 185, 481, 1369, 2405, 6845, 17797

Step-4: Factors of 89005

List of positive integer factors of 89005 that divides 88985 without a remainder.

1, 5, 7, 35, 2543, 12715, 17801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88985 and 89005. The biggest common factor number is the GCF number.
So the greatest common factor 88985 and 89005 is 5.

Also check out the Least Common Multiple of 88985 and 89005