What is the Greatest Common Factor of 91560 and 91578?

Greatest common factor (GCF) of 91560 and 91578 is 6.

GCF(91560,91578) = 6

We will now calculate the prime factors of 91560 and 91578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91560 and 91578.

How to find the GCF of 91560 and 91578?

We will first find the prime factorization of 91560 and 91578. After we will calculate the factors of 91560 and 91578 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 91578

Prime factors of 91578 are 2, 3, 15263. Prime factorization of 91578 in exponential form is:

91578 = 2¹ × 3¹ × 15263¹

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 91578

List of positive integer factors of 91578 that divides 91560 without a remainder.

1, 2, 3, 6, 15263, 30526, 45789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91560 and 91578. The biggest common factor number is the GCF number.
So the greatest common factor 91560 and 91578 is 6.

Also check out the Least Common Multiple of 91560 and 91578