What is the Greatest Common Factor of 91560 and 91565?

Greatest common factor (GCF) of 91560 and 91565 is 5.

GCF(91560,91565) = 5

We will now calculate the prime factors of 91560 and 91565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91560 and 91565.

How to find the GCF of 91560 and 91565?

We will first find the prime factorization of 91560 and 91565. After we will calculate the factors of 91560 and 91565 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91565

Prime factors of 91565 are 5, 18313. Prime factorization of 91565 in exponential form is:

91565 = 5¹ × 18313¹

Step-3: Factors of 91560

List of positive integer factors of 91560 that divides 91560 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

Step-4: Factors of 91565

List of positive integer factors of 91565 that divides 91560 without a remainder.

1, 5, 18313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91560 and 91565. The biggest common factor number is the GCF number.
So the greatest common factor 91560 and 91565 is 5.

Also check out the Least Common Multiple of 91560 and 91565