What is the Greatest Common Factor of 89544 and 89557?

Greatest common factor (GCF) of 89544 and 89557 is 13.

GCF(89544,89557) = 13

We will now calculate the prime factors of 89544 and 89557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89544 and 89557.

How to find the GCF of 89544 and 89557?

We will first find the prime factorization of 89544 and 89557. After we will calculate the factors of 89544 and 89557 and find the biggest common factor number .

Step-1: Prime Factorization of 89544

Prime factors of 89544 are 2, 3, 7, 13, 41. Prime factorization of 89544 in exponential form is:

89544 = 2³ × 3¹ × 7¹ × 13¹ × 41¹

Step-2: Prime Factorization of 89557

Prime factors of 89557 are 13, 83. Prime factorization of 89557 in exponential form is:

89557 = 13¹ × 83²

Step-3: Factors of 89544

List of positive integer factors of 89544 that divides 89544 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 41, 42, 52, 56, 78, 82, 84, 91, 104, 123, 156, 164, 168, 182, 246, 273, 287, 312, 328, 364, 492, 533, 546, 574, 728, 861, 984, 1066, 1092, 1148, 1599, 1722, 2132, 2184, 2296, 3198, 3444, 3731, 4264, 6396, 6888, 7462, 11193, 12792, 14924, 22386, 29848, 44772

Step-4: Factors of 89557

List of positive integer factors of 89557 that divides 89544 without a remainder.

1, 13, 83, 1079, 6889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89544 and 89557. The biggest common factor number is the GCF number.
So the greatest common factor 89544 and 89557 is 13.

Also check out the Least Common Multiple of 89544 and 89557