What is the Greatest Common Factor of 89085 and 89090?

Greatest common factor (GCF) of 89085 and 89090 is 5.

GCF(89085,89090) = 5

We will now calculate the prime factors of 89085 and 89090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89085 and 89090.

How to find the GCF of 89085 and 89090?

We will first find the prime factorization of 89085 and 89090. After we will calculate the factors of 89085 and 89090 and find the biggest common factor number .

Step-1: Prime Factorization of 89085

Prime factors of 89085 are 3, 5, 5939. Prime factorization of 89085 in exponential form is:

89085 = 3¹ × 5¹ × 5939¹

Step-2: Prime Factorization of 89090

Prime factors of 89090 are 2, 5, 59, 151. Prime factorization of 89090 in exponential form is:

89090 = 2¹ × 5¹ × 59¹ × 151¹

Step-3: Factors of 89085

List of positive integer factors of 89085 that divides 89085 without a remainder.

1, 3, 5, 15, 5939, 17817, 29695

Step-4: Factors of 89090

List of positive integer factors of 89090 that divides 89085 without a remainder.

1, 2, 5, 10, 59, 118, 151, 295, 302, 590, 755, 1510, 8909, 17818, 44545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89085 and 89090. The biggest common factor number is the GCF number.
So the greatest common factor 89085 and 89090 is 5.

Also check out the Least Common Multiple of 89085 and 89090