What is the Greatest Common Factor of 89532 and 89544?

Greatest common factor (GCF) of 89532 and 89544 is 12.

GCF(89532,89544) = 12

We will now calculate the prime factors of 89532 and 89544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89532 and 89544.

How to find the GCF of 89532 and 89544?

We will first find the prime factorization of 89532 and 89544. After we will calculate the factors of 89532 and 89544 and find the biggest common factor number .

Step-1: Prime Factorization of 89532

Prime factors of 89532 are 2, 3, 829. Prime factorization of 89532 in exponential form is:

89532 = 2² × 3³ × 829¹

Step-2: 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-3: Factors of 89532

List of positive integer factors of 89532 that divides 89532 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 829, 1658, 2487, 3316, 4974, 7461, 9948, 14922, 22383, 29844, 44766

Step-4: Factors of 89544

List of positive integer factors of 89544 that divides 89532 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89532 and 89544. The biggest common factor number is the GCF number.
So the greatest common factor 89532 and 89544 is 12.

Also check out the Least Common Multiple of 89532 and 89544