What is the Greatest Common Factor of 91563 and 91569?

Greatest common factor (GCF) of 91563 and 91569 is 3.

GCF(91563,91569) = 3

We will now calculate the prime factors of 91563 and 91569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91563 and 91569.

How to find the GCF of 91563 and 91569?

We will first find the prime factorization of 91563 and 91569. After we will calculate the factors of 91563 and 91569 and find the biggest common factor number .

Step-1: Prime Factorization of 91563

Prime factors of 91563 are 3, 23, 1327. Prime factorization of 91563 in exponential form is:

91563 = 3¹ × 23¹ × 1327¹

Step-2: Prime Factorization of 91569

Prime factors of 91569 are 3, 131, 233. Prime factorization of 91569 in exponential form is:

91569 = 3¹ × 131¹ × 233¹

Step-3: Factors of 91563

List of positive integer factors of 91563 that divides 91563 without a remainder.

1, 3, 23, 69, 1327, 3981, 30521

Step-4: Factors of 91569

List of positive integer factors of 91569 that divides 91563 without a remainder.

1, 3, 131, 233, 393, 699, 30523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91563 and 91569. The biggest common factor number is the GCF number.
So the greatest common factor 91563 and 91569 is 3.

Also check out the Least Common Multiple of 91563 and 91569