What is the Greatest Common Factor of 23075 and 23091?

Greatest common factor (GCF) of 23075 and 23091 is 1.

GCF(23075,23091) = 1

We will now calculate the prime factors of 23075 and 23091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23075 and 23091.

How to find the GCF of 23075 and 23091?

We will first find the prime factorization of 23075 and 23091. After we will calculate the factors of 23075 and 23091 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 23091

Prime factors of 23091 are 3, 43, 179. Prime factorization of 23091 in exponential form is:

23091 = 3¹ × 43¹ × 179¹

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 23091

List of positive integer factors of 23091 that divides 23075 without a remainder.

1, 3, 43, 129, 179, 537, 7697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23075 and 23091. The biggest common factor number is the GCF number.
So the greatest common factor 23075 and 23091 is 1.

Also check out the Least Common Multiple of 23075 and 23091