What is the Greatest Common Factor of 91545 and 91562?

Greatest common factor (GCF) of 91545 and 91562 is 17.

GCF(91545,91562) = 17

We will now calculate the prime factors of 91545 and 91562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91545 and 91562.

How to find the GCF of 91545 and 91562?

We will first find the prime factorization of 91545 and 91562. After we will calculate the factors of 91545 and 91562 and find the biggest common factor number .

Step-1: Prime Factorization of 91545

Prime factors of 91545 are 3, 5, 17, 359. Prime factorization of 91545 in exponential form is:

91545 = 3¹ × 5¹ × 17¹ × 359¹

Step-2: Prime Factorization of 91562

Prime factors of 91562 are 2, 17, 2693. Prime factorization of 91562 in exponential form is:

91562 = 2¹ × 17¹ × 2693¹

Step-3: Factors of 91545

List of positive integer factors of 91545 that divides 91545 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 359, 1077, 1795, 5385, 6103, 18309, 30515

Step-4: Factors of 91562

List of positive integer factors of 91562 that divides 91545 without a remainder.

1, 2, 17, 34, 2693, 5386, 45781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91545 and 91562. The biggest common factor number is the GCF number.
So the greatest common factor 91545 and 91562 is 17.

Also check out the Least Common Multiple of 91545 and 91562