What is the Greatest Common Factor of 96135 and 96148?

Greatest common factor (GCF) of 96135 and 96148 is 13.

GCF(96135,96148) = 13

We will now calculate the prime factors of 96135 and 96148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96135 and 96148.

How to find the GCF of 96135 and 96148?

We will first find the prime factorization of 96135 and 96148. After we will calculate the factors of 96135 and 96148 and find the biggest common factor number .

Step-1: Prime Factorization of 96135

Prime factors of 96135 are 3, 5, 13, 17, 29. Prime factorization of 96135 in exponential form is:

96135 = 3¹ × 5¹ × 13¹ × 17¹ × 29¹

Step-2: Prime Factorization of 96148

Prime factors of 96148 are 2, 13, 43. Prime factorization of 96148 in exponential form is:

96148 = 2² × 13¹ × 43²

Step-3: Factors of 96135

List of positive integer factors of 96135 that divides 96135 without a remainder.

1, 3, 5, 13, 15, 17, 29, 39, 51, 65, 85, 87, 145, 195, 221, 255, 377, 435, 493, 663, 1105, 1131, 1479, 1885, 2465, 3315, 5655, 6409, 7395, 19227, 32045

Step-4: Factors of 96148

List of positive integer factors of 96148 that divides 96135 without a remainder.

1, 2, 4, 13, 26, 43, 52, 86, 172, 559, 1118, 1849, 2236, 3698, 7396, 24037, 48074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96135 and 96148. The biggest common factor number is the GCF number.
So the greatest common factor 96135 and 96148 is 13.

Also check out the Least Common Multiple of 96135 and 96148