What is the Greatest Common Factor of 89148 and 89165?

Greatest common factor (GCF) of 89148 and 89165 is 17.

GCF(89148,89165) = 17

We will now calculate the prime factors of 89148 and 89165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89148 and 89165.

How to find the GCF of 89148 and 89165?

We will first find the prime factorization of 89148 and 89165. After we will calculate the factors of 89148 and 89165 and find the biggest common factor number .

Step-1: Prime Factorization of 89148

Prime factors of 89148 are 2, 3, 17, 19, 23. Prime factorization of 89148 in exponential form is:

89148 = 2² × 3¹ × 17¹ × 19¹ × 23¹

Step-2: Prime Factorization of 89165

Prime factors of 89165 are 5, 17, 1049. Prime factorization of 89165 in exponential form is:

89165 = 5¹ × 17¹ × 1049¹

Step-3: Factors of 89148

List of positive integer factors of 89148 that divides 89148 without a remainder.

1, 2, 3, 4, 6, 12, 17, 19, 23, 34, 38, 46, 51, 57, 68, 69, 76, 92, 102, 114, 138, 204, 228, 276, 323, 391, 437, 646, 782, 874, 969, 1173, 1292, 1311, 1564, 1748, 1938, 2346, 2622, 3876, 4692, 5244, 7429, 14858, 22287, 29716, 44574

Step-4: Factors of 89165

List of positive integer factors of 89165 that divides 89148 without a remainder.

1, 5, 17, 85, 1049, 5245, 17833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89148 and 89165. The biggest common factor number is the GCF number.
So the greatest common factor 89148 and 89165 is 17.

Also check out the Least Common Multiple of 89148 and 89165