What is the Greatest Common Factor of 96148 and 96165?

Greatest common factor (GCF) of 96148 and 96165 is 1.

GCF(96148,96165) = 1

We will now calculate the prime factors of 96148 and 96165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96148 and 96165.

How to find the GCF of 96148 and 96165?

We will first find the prime factorization of 96148 and 96165. After we will calculate the factors of 96148 and 96165 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96165

Prime factors of 96165 are 3, 5, 2137. Prime factorization of 96165 in exponential form is:

96165 = 3² × 5¹ × 2137¹

Step-3: Factors of 96148

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

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

Step-4: Factors of 96165

List of positive integer factors of 96165 that divides 96148 without a remainder.

1, 3, 5, 9, 15, 45, 2137, 6411, 10685, 19233, 32055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96148 and 96165. The biggest common factor number is the GCF number.
So the greatest common factor 96148 and 96165 is 1.

Also check out the Least Common Multiple of 96148 and 96165