What is the Greatest Common Factor of 93071 and 93075?

Greatest common factor (GCF) of 93071 and 93075 is 1.

GCF(93071,93075) = 1

We will now calculate the prime factors of 93071 and 93075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93071 and 93075.

How to find the GCF of 93071 and 93075?

We will first find the prime factorization of 93071 and 93075. After we will calculate the factors of 93071 and 93075 and find the biggest common factor number .

Step-1: Prime Factorization of 93071

Prime factors of 93071 are 11, 8461. Prime factorization of 93071 in exponential form is:

93071 = 11¹ × 8461¹

Step-2: Prime Factorization of 93075

Prime factors of 93075 are 3, 5, 17, 73. Prime factorization of 93075 in exponential form is:

93075 = 3¹ × 5² × 17¹ × 73¹

Step-3: Factors of 93071

List of positive integer factors of 93071 that divides 93071 without a remainder.

1, 11, 8461

Step-4: Factors of 93075

List of positive integer factors of 93075 that divides 93071 without a remainder.

1, 3, 5, 15, 17, 25, 51, 73, 75, 85, 219, 255, 365, 425, 1095, 1241, 1275, 1825, 3723, 5475, 6205, 18615, 31025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93071 and 93075. The biggest common factor number is the GCF number.
So the greatest common factor 93071 and 93075 is 1.

Also check out the Least Common Multiple of 93071 and 93075