What is the Greatest Common Factor of 91560 and 91564?

Greatest common factor (GCF) of 91560 and 91564 is 4.

GCF(91560,91564) = 4

We will now calculate the prime factors of 91560 and 91564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91560 and 91564.

How to find the GCF of 91560 and 91564?

We will first find the prime factorization of 91560 and 91564. After we will calculate the factors of 91560 and 91564 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 91564

Prime factors of 91564 are 2, 11, 2081. Prime factorization of 91564 in exponential form is:

91564 = 2² × 11¹ × 2081¹

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 91564

List of positive integer factors of 91564 that divides 91560 without a remainder.

1, 2, 4, 11, 22, 44, 2081, 4162, 8324, 22891, 45782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91560 and 91564. The biggest common factor number is the GCF number.
So the greatest common factor 91560 and 91564 is 4.

Also check out the Least Common Multiple of 91560 and 91564