What is the Greatest Common Factor of 89075 and 89085?

Greatest common factor (GCF) of 89075 and 89085 is 5.

GCF(89075,89085) = 5

We will now calculate the prime factors of 89075 and 89085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89075 and 89085.

How to find the GCF of 89075 and 89085?

We will first find the prime factorization of 89075 and 89085. After we will calculate the factors of 89075 and 89085 and find the biggest common factor number .

Step-1: Prime Factorization of 89075

Prime factors of 89075 are 5, 7, 509. Prime factorization of 89075 in exponential form is:

89075 = 5² × 7¹ × 509¹

Step-2: 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-3: Factors of 89075

List of positive integer factors of 89075 that divides 89075 without a remainder.

1, 5, 7, 25, 35, 175, 509, 2545, 3563, 12725, 17815

Step-4: Factors of 89085

List of positive integer factors of 89085 that divides 89075 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89075 and 89085. The biggest common factor number is the GCF number.
So the greatest common factor 89075 and 89085 is 5.

Also check out the Least Common Multiple of 89075 and 89085