What is the Greatest Common Factor of 89129 and 89148?

Greatest common factor (GCF) of 89129 and 89148 is 19.

GCF(89129,89148) = 19

We will now calculate the prime factors of 89129 and 89148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89129 and 89148.

How to find the GCF of 89129 and 89148?

We will first find the prime factorization of 89129 and 89148. After we will calculate the factors of 89129 and 89148 and find the biggest common factor number .

Step-1: Prime Factorization of 89129

Prime factors of 89129 are 19, 4691. Prime factorization of 89129 in exponential form is:

89129 = 19¹ × 4691¹

Step-2: 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-3: Factors of 89129

List of positive integer factors of 89129 that divides 89129 without a remainder.

1, 19, 4691

Step-4: Factors of 89148

List of positive integer factors of 89148 that divides 89129 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89129 and 89148. The biggest common factor number is the GCF number.
So the greatest common factor 89129 and 89148 is 19.

Also check out the Least Common Multiple of 89129 and 89148