What is the Greatest Common Factor of 23075 and 23085?

Greatest common factor (GCF) of 23075 and 23085 is 5.

GCF(23075,23085) = 5

We will now calculate the prime factors of 23075 and 23085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23075 and 23085.

How to find the GCF of 23075 and 23085?

We will first find the prime factorization of 23075 and 23085. After we will calculate the factors of 23075 and 23085 and find the biggest common factor number .

Step-1: Prime Factorization of 23075

Prime factors of 23075 are 5, 13, 71. Prime factorization of 23075 in exponential form is:

23075 = 5² × 13¹ × 71¹

Step-2: Prime Factorization of 23085

Prime factors of 23085 are 3, 5, 19. Prime factorization of 23085 in exponential form is:

23085 = 3⁵ × 5¹ × 19¹

Step-3: Factors of 23075

List of positive integer factors of 23075 that divides 23075 without a remainder.

1, 5, 13, 25, 65, 71, 325, 355, 923, 1775, 4615

Step-4: Factors of 23085

List of positive integer factors of 23085 that divides 23075 without a remainder.

1, 3, 5, 9, 15, 19, 27, 45, 57, 81, 95, 135, 171, 243, 285, 405, 513, 855, 1215, 1539, 2565, 4617, 7695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23075 and 23085. The biggest common factor number is the GCF number.
So the greatest common factor 23075 and 23085 is 5.

Also check out the Least Common Multiple of 23075 and 23085