What is the Greatest Common Factor of 96148 and 96168?

Greatest common factor (GCF) of 96148 and 96168 is 4.

GCF(96148,96168) = 4

We will now calculate the prime factors of 96148 and 96168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96148 and 96168.

How to find the GCF of 96148 and 96168?

We will first find the prime factorization of 96148 and 96168. After we will calculate the factors of 96148 and 96168 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 96168

Prime factors of 96168 are 2, 3, 4007. Prime factorization of 96168 in exponential form is:

96168 = 2³ × 3¹ × 4007¹

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 96168

List of positive integer factors of 96168 that divides 96148 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4007, 8014, 12021, 16028, 24042, 32056, 48084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96148 and 96168. The biggest common factor number is the GCF number.
So the greatest common factor 96148 and 96168 is 4.

Also check out the Least Common Multiple of 96148 and 96168