What is the Greatest Common Factor of 89544 and 89564?

Greatest common factor (GCF) of 89544 and 89564 is 4.

GCF(89544,89564) = 4

We will now calculate the prime factors of 89544 and 89564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89544 and 89564.

How to find the GCF of 89544 and 89564?

We will first find the prime factorization of 89544 and 89564. After we will calculate the factors of 89544 and 89564 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 89564

Prime factors of 89564 are 2, 22391. Prime factorization of 89564 in exponential form is:

89564 = 2² × 22391¹

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 89564

List of positive integer factors of 89564 that divides 89544 without a remainder.

1, 2, 4, 22391, 44782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89544 and 89564. The biggest common factor number is the GCF number.
So the greatest common factor 89544 and 89564 is 4.

Also check out the Least Common Multiple of 89544 and 89564