What is the Greatest Common Factor of 91125 and 91142?

Greatest common factor (GCF) of 91125 and 91142 is 1.

GCF(91125,91142) = 1

We will now calculate the prime factors of 91125 and 91142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91125 and 91142.

How to find the GCF of 91125 and 91142?

We will first find the prime factorization of 91125 and 91142. After we will calculate the factors of 91125 and 91142 and find the biggest common factor number .

Step-1: Prime Factorization of 91125

Prime factors of 91125 are 3, 5. Prime factorization of 91125 in exponential form is:

91125 = 3⁶ × 5³

Step-2: Prime Factorization of 91142

Prime factors of 91142 are 2, 199, 229. Prime factorization of 91142 in exponential form is:

91142 = 2¹ × 199¹ × 229¹

Step-3: Factors of 91125

List of positive integer factors of 91125 that divides 91125 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 125, 135, 225, 243, 375, 405, 675, 729, 1125, 1215, 2025, 3375, 3645, 6075, 10125, 18225, 30375

Step-4: Factors of 91142

List of positive integer factors of 91142 that divides 91125 without a remainder.

1, 2, 199, 229, 398, 458, 45571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91125 and 91142. The biggest common factor number is the GCF number.
So the greatest common factor 91125 and 91142 is 1.

Also check out the Least Common Multiple of 91125 and 91142