What is the Greatest Common Factor of 91545 and 91560?

Greatest common factor (GCF) of 91545 and 91560 is 15.

GCF(91545,91560) = 15

We will now calculate the prime factors of 91545 and 91560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91545 and 91560.

How to find the GCF of 91545 and 91560?

We will first find the prime factorization of 91545 and 91560. After we will calculate the factors of 91545 and 91560 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 91560

Prime factors of 91560 are 2, 3, 5, 7, 109. Prime factorization of 91560 in exponential form is:

91560 = 2³ × 3¹ × 5¹ × 7¹ × 109¹

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 91560

List of positive integer factors of 91560 that divides 91545 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 109, 120, 140, 168, 210, 218, 280, 327, 420, 436, 545, 654, 763, 840, 872, 1090, 1308, 1526, 1635, 2180, 2289, 2616, 3052, 3270, 3815, 4360, 4578, 6104, 6540, 7630, 9156, 11445, 13080, 15260, 18312, 22890, 30520, 45780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91545 and 91560. The biggest common factor number is the GCF number.
So the greatest common factor 91545 and 91560 is 15.

Also check out the Least Common Multiple of 91545 and 91560