What is the Greatest Common Factor of 89531 and 89544?

Greatest common factor (GCF) of 89531 and 89544 is 13.

GCF(89531,89544) = 13

We will now calculate the prime factors of 89531 and 89544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89531 and 89544.

How to find the GCF of 89531 and 89544?

We will first find the prime factorization of 89531 and 89544. After we will calculate the factors of 89531 and 89544 and find the biggest common factor number .

Step-1: Prime Factorization of 89531

Prime factors of 89531 are 13, 71, 97. Prime factorization of 89531 in exponential form is:

89531 = 13¹ × 71¹ × 97¹

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 89531

List of positive integer factors of 89531 that divides 89531 without a remainder.

1, 13, 71, 97, 923, 1261, 6887

Step-4: Factors of 89544

List of positive integer factors of 89544 that divides 89531 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 89531 and 89544. The biggest common factor number is the GCF number.
So the greatest common factor 89531 and 89544 is 13.

Also check out the Least Common Multiple of 89531 and 89544